<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
    <front>
        <journal-meta>
            <journal-id journal-id-type="pmc">F1000Research</journal-id>
            <journal-title-group>
                <journal-title>F1000Research</journal-title>
            </journal-title-group>
            <issn pub-type="epub">2046-1402</issn>
            <publisher>
                <publisher-name>F1000 Research Limited</publisher-name>
                <publisher-loc>London, UK</publisher-loc>
            </publisher>
        </journal-meta>
        <article-meta>
            <article-id pub-id-type="doi">10.12688/f1000research.176577.1</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Research Article</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>Material Selection Method Based on Health, Reliability and Cost for Water Supply Pipe</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 1; peer review: 1 approved with reservations, 1 not approved]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Mutlag</surname>
                        <given-names>Sattar</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Investigation</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-7735-2504</uri>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Abed</surname>
                        <given-names>Kadhum</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Investigation</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Al Mashhadany</surname>
                        <given-names>Yousif</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Project Administration</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <uri content-type="orcid">https://orcid.org/0000-0003-3943-8395</uri>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a3">3</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Department of Mechanical Engineering, University of Anbar, Anbar, Iraq, Iraq</aff>
                <aff id="a2">
                    <label>2</label>Biomedical Engineering Research Center, University of Anbar, Ramadi, Al Anbar Governorate, Iraq</aff>
                <aff id="a3">
                    <label>3</label>Biomedical Engineering Research Center,, university of anbar, Anbar, Iraq, Iraq</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:yousif.mohammed@uoanbar.edu.iq">yousif.mohammed@uoanbar.edu.iq</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>5</day>
                <month>3</month>
                <year>2026</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2026</year>
            </pub-date>
            <volume>15</volume>
            <elocation-id>361</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>25</day>
                    <month>2</month>
                    <year>2026</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Mutlag S et al.</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <self-uri content-type="pdf" xlink:href="https://f1000research.com/articles/15-361/pdf"/>
            <abstract>
                <sec>
                    <title>Background</title>
                    <p>This study develops an enhanced decision-making framework to support the selection of suitable non-metallic and metallic materials for water supply pipes (WSPs), with an emphasis on health safety, reliability and cost efficiency. The originality of the research lies in integrating three interdisciplinary domains&#x2014;engineering, public health, and economics&#x2014;within a unified material selection (MS) process. Based on user requirements and expert opinions, three key evaluation criteria for WSPs were identified: (i) safety and reliability, (ii) cost, and (iii) health and cleanliness.</p>
                </sec>
                <sec>
                    <title>Methods</title>
                    <p>The study addresses two main challenges. First, overcoming the difficulty of constructing a consistent pairwise comparison matrix in the Analytic Hierarchy Process (AHP) Second, selecting an appropriate pipe material that simultaneously satisfies engineering performance, health considerations, and economic feasibility. To address the first issue, Yang&#x2019;s improved paired-comparison approach was adopted using a newly designed questionnaire. Five commonly used pipe materials were evaluated: thin-walled copper, PVC-lined galvanized steel, PP-R, PVC-U, and thin-walled stainless steel. Their key characteristics were analyzed, and the materials were quantitatively optimized using the AHP method with a nine-point comparison scale.</p>
                </sec>
                <sec>
                    <title>Results</title>
                    <p>The results indicate that PP-R pipes achieved the highest overall priority weight (0.695), making them the most suitable option for water supply systems under the selected criteria. Sensitivity analysis further confirmed the robustness of the improved AHP model, as the ranking of PP-R (M4) remained stable under 10&#x2013;20% variations in the weights of safety and reliability, health, and cost criteria.</p>
                </sec>
                <sec>
                    <title>Conclusions</title>
                    <p>These findings are consistent with recent improved AHP and multi-criteria decision-making studies on pipe material selection. The proposed framework provides a practical guide for decision-makers in selecting appropriate materials for water supply systems.</p>
                </sec>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>Analytic Hierarchy Process (AHP)</kwd>
                <kwd>Material Selection</kwd>
                <kwd>PP-R Pipe</kwd>
                <kwd>stainless steel pipe</kwd>
                <kwd>Water Supply Pipe.</kwd>
            </kwd-group>
            <funding-group>
                <funding-statement>The author(s) declared that no grants were involved in supporting this work.</funding-statement>
            </funding-group>
        </article-meta>
    </front>
    <body>
        <sec id="sec5" sec-type="intro">
            <title>1. Introduction</title>
            <p>The construction of infrastructure is not complete without the installation of water supply networks, which are the main components of WSSs and have a significant impact on people&#x2019;s lives and employment.
                <sup>
                    <xref ref-type="bibr" rid="ref1">1</xref>
                </sup> According to,
                <sup>
                    <xref ref-type="bibr" rid="ref2">2</xref>&#x2013;
                    <xref ref-type="bibr" rid="ref4">4</xref>
                </sup> the development WSP network can, to some extent, reflects the economic development of a nation. Since installing pipes is a necessary part of building water supply networks, knowing how to choose pipes is critical when developing a WSP network, since it represents a significant portion of the overall cost of building a pipe network.
                <sup>
                    <xref ref-type="bibr" rid="ref5">5</xref>
                </sup> The pipe is the primary limiting factor in the WSP network, according to studies in references.
                <sup>
                    <xref ref-type="bibr" rid="ref5">5</xref>&#x2013;
                    <xref ref-type="bibr" rid="ref7">7</xref>
                </sup>
            </p>
            <p>The key limiting element on the WSP network is pipe. There are several current unresolved issues related to the WSP network. Of them is: Corrosion, which is a serious issue, and secondary water quality pollution that occurs due to pipeline aging. Another issue is accumulated dirt which is even more problematic
                <sup>
                    <xref ref-type="bibr" rid="ref8">8</xref>,
                    <xref ref-type="bibr" rid="ref9">9</xref>
                </sup> must pay enough attention to Water Supply Pipe because the operation&#x2019;s energy consumption is higher as a result of leakage in network. WSP materials must be carefully selected in order to meet the following goals: reliability of the water pipe network, affordable and reasonable cost, easy maintenance, and absence of secondary pollutants.</p>
            <p>The Primary Issues with Water Supply Pipe that because of the rapid increase of residential WSS building in latest years,
                <sup>
                    <xref ref-type="bibr" rid="ref10">10</xref>
                </sup> state, the latest trend of WSPs has diversified, and expectations for WSP performance have risen. At the time, water delivery networks in many countries are challenged by pipe breaks, corrosion, aging, and secondary contamination, which can degrade water quality and increase energy consumption.
                <sup>
                    <xref ref-type="bibr" rid="ref2">2</xref>,
                    <xref ref-type="bibr" rid="ref4">4</xref>
                </sup> The issue, according to,
                <sup>
                    <xref ref-type="bibr" rid="ref11">11</xref>,
                    <xref ref-type="bibr" rid="ref12">12</xref>
                </sup> leads to decreased water quality and increased water energy consumption, which has a significant impact on the financial advantages of customers and user water security. Given that a WSP network was not built perfectly and still has some issues, in order to save money, cut operating expenses, and maintain a stable and efficient water supply, the WSP chosen for the process of upgrading the pipe network should be guided by trustworthy quality and reasonable economic parameters.
                <sup>
                    <xref ref-type="bibr" rid="ref13">13</xref>
                </sup>
            </p>
            <p>The study&#x2019;s objectives focus on two problems: the AHP process and material selection. Initially, one of the difficulties in the material selection process is deciding on a particular type of metal for Water Supply Pipes (WSPs) that should integrate three scientific domains: economical, healthful, and engineering. Second, building a pairwise comparison matrix and satisfying the consistency criterion is challenging (AHP). Researchers used a new questionnaire to conduct
                <sup>
                    <xref ref-type="bibr" rid="ref14">14</xref>
                </sup> proposed matched comparison.</p>
            <p>This study contributes to the AHP-based material selection framework for potable water pipes by (i) employing a simplified questionnaire design with a structured procedure to reduce inconsistent pairwise judgments,
                <sup>
                    <xref ref-type="bibr" rid="ref13">13</xref>
                </sup> and (ii) consolidating health, reliability, and cost criteria into a single transparent decision model. The proposed method includes health considerations for drinking water, as well as reliability and lifecycle economic suitability, making it a reproducible decision support tool for practical network planning. This is different from many previous studies on material selection that focus on economic or mechanical factors.</p>
        </sec>
        <sec id="sec6">
            <title>2. Materials and methods</title>
            <p>Several most popular and analytical MS procedures are introduced below
                <sup>
                    <xref ref-type="bibr" rid="ref5">5</xref>,
                    <xref ref-type="bibr" rid="ref8">8</xref>
                </sup>:
                <list list-type="order">
                    <list-item>
                        <label>1.</label>
                        <p>Performance versus cost.</p>
                    </list-item>
                    <list-item>
                        <label>2.</label>
                        <p>Property Indices That Are Weighted.</p>
                    </list-item>
                    <list-item>
                        <label>3.</label>
                        <p>Value Evaluation.</p>
                    </list-item>
                    <list-item>
                        <label>4.</label>
                        <p>Failure Investigation.</p>
                    </list-item>
                    <list-item>
                        <label>5.</label>
                        <p>Cost-Benefit Analysis.</p>
                    </list-item>
                </list>
            </p>
            <p>Materials selection in mechanical design, as per Ashby&#x2019;s methodology, focuses on the economic evaluation of the alternatives and entails four basic steps, which are
                <sup>
                    <xref ref-type="bibr" rid="ref4">4</xref>,
                    <xref ref-type="bibr" rid="ref5">5</xref>
                </sup>:
                <list list-type="order">
                    <list-item>
                        <label>1.</label>
                        <p>The quick design aspirations as objectives and limitations.</p>
                    </list-item>
                    <list-item>
                        <label>2.</label>
                        <p>Ranking: the identification of elements that do the job more effectively.</p>
                    </list-item>
                    <list-item>
                        <label>3.</label>
                        <p>Screening: the removal of things that are ineffective for the task.</p>
                    </list-item>
                    <list-item>
                        <label>4.</label>
                        <p>Additional data: list of pedigrees of top nominees.</p>
                    </list-item>
                </list>
            </p>
            <p>Modern decision-making in academia and industry necessitates the equilibrium of several, frequently conflicting aims, such as quality improvement, regulatory adherence, and cost minimization.
                <sup>
                    <xref ref-type="bibr" rid="ref15">15</xref>
                </sup> The difficulty is in formulating and implementing action plans to address these concerns in a climate of rapid and complicated change, limited human and financial commitment, and tight timelines. Future products will have better performance, comfort, and functionality while producing fewer emissions, harming fewer people, and costing less to produce and buy. Taking a systemic approach to the product and production is the only way to reconcile these competing objectives. Systems discipline is still not a standard operating procedure, though.
                <sup>
                    <xref ref-type="bibr" rid="ref16">16</xref>,
                    <xref ref-type="bibr" rid="ref17">17</xref>
                </sup>
            </p>
            <p>In
                <sup>
                    <xref ref-type="bibr" rid="ref18">18</xref>
                </sup> looked at the related inefficiencies or variables required to enhance a method for systematic and efficient MS. The preliminary study findings and the frequency data analysis indicate several potential implications on designers&#x2019; selection of local, environmentally and friendly construction materials during the design process. They talked about using the AHP method to calculate quantitatively and choose the best alternative for construction materials. A multi- factorial methodical decision support was developed to aid designers in assessing their symbolic meanings for whether or not the MS is likely appropriate for sustainability goals. The evaluation of the social, economic, technical, sensory, and environmental implications of potential MS is a key component of the MS process.</p>
            <sec id="sec7">
                <title>2.1 The competitive factor of material selection (MS)</title>
                <p>The three Cs (Customers, Change, and Competition) are the three forces influencing businesses today.
                    <sup>
                        <xref ref-type="bibr" rid="ref19">19</xref>
                    </sup> Three factors time, cost, and quality are directly impacted by marketing and competition. The company that could win over customers by offering a superior product or service at the most competitive price would win the sale. According to Ref. [
                    <xref ref-type="bibr" rid="ref20">20</xref>], the two most crucial aspects of a company&#x2019;s economics are cost and quality.</p>
            </sec>
            <sec id="sec8">
                <title>2.2 Commonly used pipe and its features</title>
                <p>Pipe is a crucial component of the water distribution system, and there is a number of things to take into account when choosing pipes. Worries regarding the quality of the water comes in second, network installation and ease of maintenance comes third, and the feed water flow and pressure of the WSPs comes first, according to.
                    <sup>
                        <xref ref-type="bibr" rid="ref21">21</xref>,
                        <xref ref-type="bibr" rid="ref22">22</xref>
                    </sup>
                </p>
                <p>

                    <bold>2.2.1 Metal pipe:</bold>
                </p>
                <p>Corrosion phenomena, primarily chloride and sulfide deposit, can also be seen when metal pipes, including copper and thin-walled stainless steel pipes, are used. By using a protective film that can be maintained and restored for a very long period, corrosion is stopped in the surface oxidation. The PH of water has a major effect on copper pipes, as reported by,
                    <sup>
                        <xref ref-type="bibr" rid="ref23">23</xref>
                    </sup> if the acidity is high, corrosion will start to occur. High concentrations of dissolved oxygen and demineralized water can also cause copper to corrode, so it is best to avoid using brass in these situations. If the water&#x2019;s chloride ion level is higher, which also causes austenitic stainless-steel pipes to corrode, thin-walled stainless steel pipes are a poor choice. Based on,
                    <sup>
                        <xref ref-type="bibr" rid="ref24">24</xref>
                    </sup> numerous methods exist for connecting metal pipes, each with benefits and drawbacks. Pipes must be chosen carefully, taking into account the material, wall thickness, and use scenarios. If various metal tubes or pipes are connected, due consideration should be given to the electrochemical corrosion of the pipeline.</p>
                <p>

                    <bold>2.2.2 Plastic pipe:</bold>
                </p>
                <p>Plastic pipes generally had a higher linear expansion coefficient than metal pipes, which is another significant distinction between the two types of pipes. According to reference [
                    <xref ref-type="bibr" rid="ref18">18</xref>], plastic pipe deformation typically takes place in the shaft upward. Bending, typically in the horizontal direction, is the most common type of deformation, and the severity of deformity is directly connected to temperature difference. The problem must therefore be taken into account while designing and building the installation. It is possible to employ the slip joint or angle natural compensation approach. Avoiding adhesives containing benzene class organic solvent when choosing plastic pipe fittings will help prevent secondary pollution of the water supply. The authorities responsible for quality control and inspection must be followed when selecting the detection qualified tubing.</p>
                <p>

                    <bold>2.2.3 Composite pipe:</bold>
                </p>
                <p>In
                    <sup>
                        <xref ref-type="bibr" rid="ref23">23</xref>,
                        <xref ref-type="bibr" rid="ref24">24</xref>
                    </sup> welded aluminum alloy and polyethylene together to develop a luminous model multiple tube that integrated the benefits of both metal and plastic pipe, especially resilience to high pressure and corrosion. Aluminous model multiple tubes can be divided into cross-linked and high-density polyethylene based on the various uses of hot and cold water. The plastics-steel multiple tube, which also combines the benefits of steel pipe and plastic steel pipe, is created by coating the interior of the galvanised tube with UPVC. A cold- water pipe was formerly attached to the more expensive plastic-steel multiple tube. A new type of pipeline that delivers the benefits of the double anti-corrosion pressure is steel skeleton PE pipe. PE pipe has been used extensively in municipal water supply engineering despite being more expensive. Non-toxic polypropylene and other organic materials were applied to the inner wall of the steel tube to create the plastic-coated pipe, which has good hardness, water resistance, resistance to corrosion, is not easily clogged, and has a long service life.</p>
            </sec>
            <sec id="sec9">
                <title>2.3 Guidelines for selecting WSPs material</title>
                <p>In order to provide the user with clean water, WSP is essential. The feed water pipe significantly affects the water&#x2019;s quality.
                    <sup>
                        <xref ref-type="bibr" rid="ref24">24</xref>
                    </sup> The three main product lines for WSP at the moment are plastic pipes, metal pipes, and composite pipes. Each has benefits and drawbacks. In
                    <sup>
                        <xref ref-type="bibr" rid="ref25">25</xref>,
                        <xref ref-type="bibr" rid="ref26">26</xref>
                    </sup> both agree that the best choice must be made after carefully balancing the pros and cons. The following guidelines should be used while selecting WSPs material.</p>
                <p>The applicability of the following parameters varies by project conditions (pressure, temperature, water chemistry, etc.). This adaptability enhances practical applicability while keeping the same evaluation framework aligned with local standards.</p>
                <p>

                    <bold>2.3.1 Safe and Reliable SR:</bold>
                </p>
                <p>A certain water pressure must be withstood by the WSP in the water distribution and supply process. It must have excellent sealing to prevent leakage phenomena and meet that same mechanical property grade to prevent rupture. According to,
                    <sup>
                        <xref ref-type="bibr" rid="ref26">26</xref>
                    </sup> as pipes can tolerate vibration, heat bilges, water hammer, and cold shrinkage, all of these issues must be considered while constructing the pipe network.</p>
                <p>SR: Reliability reflects the expected service performance of the pipe material, emphasizing durability, resistance to failure and corrosion, and stability under operating conditions.</p>
                <p>

                    <bold>2.3.2 Clean Sanitation CS:</bold>
                </p>
                <p>Freshwater from the plant of water often goes through a long pipeline before it reaches the customer. A new chemical and physical reaction between the chlorine in pipes water and the pipe wall may occur during this period, decreasing the quality of the water that customers receive and corroding the pipe&#x2019;s inner wall.
                    <sup>
                        <xref ref-type="bibr" rid="ref27">27</xref>
                    </sup> Therefore, the state&#x2019;s authority monitoring divisions require the use of certified pipes for health testing process.
                    <sup>
                        <xref ref-type="bibr" rid="ref28">28</xref>
                    </sup>
                </p>
                <p>SE: Health/Safety represents the material&#x2019;s suitability for potable water, focusing on hygienic performance, low leaching risk, and compliance with drinking-water regulations.</p>
                <p>

                    <bold>2.3.3 Cost as Saving Energy SE:</bold>
                </p>
                <p>Any pipe material must use energy throughout the manufacturing and installation processes. Production of thin-wall pipes is often more effective than that of thick- wall pipes. Plastic, steel-plastic composite, and metal pipes all use less energy to produce than their counterparts. From a construction perspective, utilizing a besmear brush with twisting teeth is much energy-efficient than hot melt connections, electric welding, and gas welding. In the event that a second pressure was required for the water distribution process, the pipeline&#x2019;s local head loss would increase the amount of energy used.
                    <sup>
                        <xref ref-type="bibr" rid="ref29">29</xref>
                    </sup> CS: Cost is expressed as cost-effectiveness (affordability), where higher values indicate lower life-cycle costs (purchase, installation, operation/maintenance, and replacement) and thus better economic suitability.</p>
                <p>

                    <bold>2.3.4 Conducive to environmental protection:</bold>
                </p>
                <p>Technical staff must take into account the fact that feed water pipe can be recycled and used again without harming the environment, especially in light of the nation&#x2019;s recent environmental protection legislation. Rust is a common problem with galvanized tubing that has virtually been resolved. A significant component of high-end decoration is copper pipe because of its good pressure and anticorrosion properties. In
                    <sup>
                        <xref ref-type="bibr" rid="ref30">30</xref>
                    </sup> state that the majority of plastic pipes can be recycled.</p>
                <p>

                    <bold>2.3.5 Saving investment:</bold>
                </p>
                <p>The price of pipe material, the cost of construction installation, and the selection of appropriate pipes must all be considered in a technical and economic study in order to maintain health and safety.
                    <sup>
                        <xref ref-type="bibr" rid="ref31">31</xref>,
                        <xref ref-type="bibr" rid="ref32">32</xref>
                    </sup>
                </p>
            </sec>
            <sec id="sec10">
                <title>2.4 Using AHP to choose construction WSP</title>
                <p>The AHP is used to better integrate qualitative and quantitative analysis for Decision making DM problems that are inclined by a variety of factors. Saaty (1977) was the one who first mentioned AHP,
                    <sup>
                        <xref ref-type="bibr" rid="ref8">8</xref>
                    </sup> which was appropriate for the problem and could be sorted in terms of benefits and drawbacks. Building WSP has more influencing factors, so using AHP to optimize choice is appropriate.</p>
                <p>The problem is structured, decision-making factors are identified, and the significance of sub-factors is evaluated as part of a sequence of sequential processes that make up the AHP and combining the weights of all the decision-making factors.
                    <sup>
                        <xref ref-type="bibr" rid="ref33">33</xref>
                    </sup> The AHP&#x2019;s overall process is depicted in 
                    <xref ref-type="fig" rid="f1">Figure 1</xref> and the main stages of the conventional AHP are summarized in the next subsection 3.1.2.</p>
                <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                    <label>Figure 1. </label>
                    <caption>
                        <title>The AHP&#x2019;s overall process is depicted.
                            <sup>
                                <xref ref-type="bibr" rid="ref33">33</xref>
                            </sup>
                        </title>
                    </caption>
                    <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_figure1.gif"/>
                </fig>
                <p>In this study, AHP was selected because it can integrate qualitative and quantitative criteria in a transparent hierarchical structure, supports consistency checking of expert judgments, and is widely used for multi-criteria material selection problems where trade-offs between health, reliability, and cost must be explicitly balanced.</p>
            </sec>
        </sec>
        <sec id="sec11" sec-type="results|discussion">
            <title>3. Results and discussion</title>
            <p>A structure model&#x2019;s levels are set as follows: the rule layer, target layer, and solutions layer make up the majority of a WSP model. The layer that needs to be built is called Building WSP. According to the survey administered on experts and clients, the three most important elements of the rule layer are health and cleanliness, safety and reliability, and cost of energy conservation. The study will look at five different types of pipes: PP-R, PVC-U, thin- walled copper, lining of PVC galvanised pipe, and thin-walled stainless steel pipe. A WSP hierarchical model is created, as shown in 
                <xref ref-type="fig" rid="f2">Figure 2</xref>.</p>
            <fig fig-type="figure" id="f2" orientation="portrait" position="float">
                <label>Figure 2. </label>
                <caption>
                    <title>Building WSP structure model [By authors].</title>
                </caption>
                <graphic id="gr2" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_figure2.gif"/>
            </fig>
            <sec id="sec12">
                <title>3.1 Judgment matrix construction</title>
                <p>It is difficult to construct a pairwise comparison matrix and meet the consistency requirement. Researchers carried out
                    <sup>
                        <xref ref-type="bibr" rid="ref12">12</xref>
                    </sup> suggested paired comparison using a new questionnaire to. The element size values of the judgment matrix are determined using the nine-scaling(1 to 9) method, as stated in 
                    <xref ref-type="table" rid="T1">
Tables (1</xref> to 
                    <xref ref-type="table" rid="T4">4</xref>), based on the engineers&#x2019; experience and professional guidance.
                    <sup>
                        <xref ref-type="bibr" rid="ref6">6</xref>,
                        <xref ref-type="bibr" rid="ref12">12</xref>
                    </sup>
                </p>
                <table-wrap id="T1" orientation="portrait" position="float">
                    <label>
Table 1. </label>
                    <caption>
                        <title>Building a target table for WSP decision-making.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <graphic id="gr4" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_gra1.gif"/>
</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <table-wrap id="T2" orientation="portrait" position="float">
                    <label>
Table 2. </label>
                    <caption>
                        <title>CS indicators for target buildings.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <graphic id="gr5" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_gra2.gif"/>
</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <table-wrap id="T3" orientation="portrait" position="float">
                    <label>
Table 3. </label>
                    <caption>
                        <title>Creating a table for the WSP SR index.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <graphic id="gr6" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_gra3.gif"/>
</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <table-wrap id="T4" orientation="portrait" position="float">
                    <label>
Table 4. </label>
                    <caption>
                        <title>Construction SE index.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <graphic id="gr7" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_gra4.gif"/>
</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
            </sec>
            <sec id="sec13">
                <title>3.2 Check for consistency</title>
                <p>To determine whether a matrix is consistent, use the eigen value method
                    <sup>
                        <xref ref-type="bibr" rid="ref12">12</xref>&#x2013;
                        <xref ref-type="bibr" rid="ref14">14</xref>
                    </sup>:
                    <disp-formula id="e1">

                        <mml:math display="block">
                            <mml:mi>CI</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi mathvariant="normal">&#x03bb;</mml:mi>
                                    <mml:mi>max</mml:mi>
                                </mml:msub>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:mi mathvariant="normal">n</mml:mi>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mo>/</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mi mathvariant="normal">n</mml:mi>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:mn>1</mml:mn>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>

                        <label>(1)</label>
</disp-formula>
                </p>
                <p>The consistency index (CI) formula displays the maximum eigenvalue, &#x03bb;
                    <sub>max</sub>, while n shows the overall number of items, also known as the order number, the consistency ratio (CR) and mean random consistency index (RI) are both listed in 
                    <xref ref-type="table" rid="T5">
Table 5</xref>.
                    <sup>
                        <xref ref-type="bibr" rid="ref12">12</xref>
                    </sup>
                    <disp-formula id="e2">

                        <mml:math display="block">
                            <mml:mi>CR</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:msup>
                                <mml:mi mathvariant="normal">C</mml:mi>
                                <mml:mo>&#x2217;</mml:mo>
                            </mml:msup>
                            <mml:mi mathvariant="normal">I</mml:mi>
                        </mml:math>

                        <label>(2)</label>
</disp-formula>
                </p>
                <table-wrap id="T5" orientation="portrait" position="float">
                    <label>
Table 5. </label>
                    <caption>
                        <title>The relationships between the matrix order and the mean CR index.
                            <sup>
                                <xref ref-type="bibr" rid="ref12">12</xref>
                            </sup>
                        </title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Matrix order</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">I</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">II</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">III</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">IV</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">V</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">VI</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">VII</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">VIII</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">IX</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">X</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">XI</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">XII</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">R.I</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.521</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.892</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.121</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.262</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.362</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.412</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.461</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.491</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.52</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.54</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <p>When CR&#x00a0;&lt;&#x00a0;0.1, Consistency of the outcome of the hierarchy sort can be accepted.</p>
                <p>Total sorts consistency check
                    <sup>
                        <xref ref-type="bibr" rid="ref6">6</xref>,
                        <xref ref-type="bibr" rid="ref12">12</xref>
                    </sup>:
                    <disp-formula id="e3">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="italic">CI</mml:mi>
                                <mml:mi mathvariant="italic">Tot</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>J</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mn>5</mml:mn>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mi>a</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">CI</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(3)</label>
</disp-formula>

                    <disp-formula id="e4">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="italic">RI</mml:mi>
                                <mml:mi mathvariant="italic">Tot</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>J</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mn>5</mml:mn>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mi>a</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">RI</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(4)</label>
</disp-formula>

                    <disp-formula id="e5">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="italic">CR</mml:mi>
                                <mml:mi mathvariant="italic">Tot</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:msub>
                                    <mml:mi mathvariant="italic">CI</mml:mi>
                                    <mml:mi mathvariant="italic">Tot</mml:mi>
                                </mml:msub>
                                <mml:msub>
                                    <mml:mi mathvariant="italic">RI</mml:mi>
                                    <mml:mi mathvariant="italic">Tot</mml:mi>
                                </mml:msub>
                            </mml:mfrac>
                        </mml:math>

                        <label>(5)</label>
</disp-formula>
                </p>
                <p>The discussion results and analysis: were completed using the AHP software version 14.2, with the key findings displayed in 
                    <xref ref-type="table" rid="T6">
Table 6</xref>. The AHP software was able to obtain the largest characteristic value, &#x03bb;
                    <sub>max</sub>. The consistency ratio (CR) was determined using the 
                    <xref ref-type="disp-formula" rid="e2">Equation (2)</xref>, Using the 
                    <xref ref-type="disp-formula" rid="e1">Equation (1)</xref>, CI was calculated, and the total sorts were tested for consistency using the 
                    <xref ref-type="table" rid="T5">
Table 5</xref>, CR
                    <sub>Tot</sub>&#x00a0;=&#x00a0;0.04%&#x00a0;&lt;&#x00a0;0.1 (see 
                    <xref ref-type="fig" rid="f3">Figure 3</xref>).</p>
                <table-wrap id="T6" orientation="portrait" position="float">
                    <label>
Table 6. </label>
                    <caption>
                        <title>Creating a weight calculation table for WSP.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="6" rowspan="1" valign="top">Score of material selection by using (AHP)</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="2" style="background-color:#FFFF00" valign="top">Material selection methods of WSP</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">1</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">2</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">3</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Weight &#x2211; wi/n</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Score</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">SR</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">SE</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">CS</th>
                                <th align="left" colspan="1" rowspan="1" valign="top"/>
                                <th align="left" colspan="1" rowspan="1" valign="top"/>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">Copper pipe M1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.17</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.21</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.12</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.637</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.172</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PVC-U pipe M3</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.14</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.35</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.14</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.258</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.186</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">Stainless steel pipe M2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.13</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.29</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.32</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.105</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.183</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PP-R pipe M4</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.45</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.07</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.18</td>
                                <td colspan="1" rowspan="1"/>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">0.317</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PVC galvanized pipe M5</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.11</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.08</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.25</td>
                                <td colspan="1" rowspan="1"/>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.142</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <fig fig-type="figure" id="f3" orientation="portrait" position="float">
                    <label>Figure 3. </label>
                    <caption>
                        <title>AHP software results of value &#x03bb;
                            <sub>max</sub> and CR.</title>
                    </caption>
                    <graphic id="gr3" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/194642/ed8fcaba-4507-4f12-946e-40d82452b5d3_figure3.gif"/>
                </fig>
                <p>
                    <xref ref-type="table" rid="T6">
Table 6</xref> illustrates the overall sequencing result&#x2019;s acceptable consistency as 
                    <xref ref-type="fig" rid="f2">Figure 2</xref>.</p>
                <p>
                    <xref ref-type="table" rid="T6">
Table 6</xref> demonstrates that PP-R pipe is the best when it comes to cleanliness and health (0.317), thin- walled stainless steel pipe is the best when it comes to safety and reliability (0.751), and PVC-U pipe is the best when it comes to price (0.831). In other words, results of AHP method showed that the total weight (0.695) is the largest for PP-R pipe; specifically, the PP-R pipe&#x2019;s overall performance is the best and it can be used for high-standard WSP line installations. The second is the PVC- U pipe, which is appropriate for typical WSP due to its superior overall performance, affordable price, and advantages of easy installation.</p>
                <p>The paired comparison questionnaire the researchers used to develop the AHP method yielded acceptable results, but in a more easy to use than the traditional AHP method.</p>
            </sec>
            <sec id="sec14">
                <title>3.3 Sensitivity analysis</title>
                <p>
Following the normalization of the local priorities 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">SR</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">SE</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">CS</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                        </mml:math>
</inline-formula>. A sensitivity analysis was conducted employing three weight perturbation scenarios with an increase in weight (10&#x2013;20%): (i) SE, (ii) SR, and (iii) CS priorities. For each scenario, the baseline criteria weights 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>w</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> were adjusted to emphasize the target dimension and then re-normalized to satisfy 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mover accent="true">
                                    <mml:mi>w</mml:mi>
                                    <mml:mo stretchy="true">~</mml:mo>
                                </mml:mover>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                        </mml:math>
</inline-formula> by using 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mover accent="true">
                                <mml:msub>
                                    <mml:mi>w</mml:mi>
                                    <mml:mi>j</mml:mi>
                                </mml:msub>
                                <mml:mo stretchy="true">~</mml:mo>
                            </mml:mover>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:msub>
                                    <mml:mi>w</mml:mi>
                                    <mml:mi>j</mml:mi>
                                </mml:msub>
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mo>&#x2211;</mml:mo>
                                        <mml:mi>j</mml:mi>
                                    </mml:msub>
                                    <mml:msub>
                                        <mml:mi>w</mml:mi>
                                        <mml:mi>j</mml:mi>
                                    </mml:msub>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</inline-formula>. The overall score of each material 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mi>m</mml:mi>
                            <mml:mspace width="0.25em"/>
                        </mml:math>
</inline-formula>was recomputed by the weighted sum model 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mi>J</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mover accent="true">
                                    <mml:mi>w</mml:mi>
                                    <mml:mo stretchy="true">~</mml:mo>
                                </mml:mover>
                                <mml:mi>J</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2217;</mml:mo>
                            <mml:msub>
                                <mml:mi>S</mml:mi>
                                <mml:mi>J</mml:mi>
                            </mml:msub>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mi>m</mml:mi>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>
</inline-formula>, and the resulting rankings were compared against the baseline ranking to evaluate the robustness of the proposed AHP-based material selection method. Where 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>S</mml:mi>
                                <mml:mi>J</mml:mi>
                            </mml:msub>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mi>m</mml:mi>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>
</inline-formula> score of material m.
                    <sup>
                        <xref ref-type="bibr" rid="ref17">17</xref>,
                        <xref ref-type="bibr" rid="ref18">18</xref>
                    </sup>
                </p>
                <p>
                    <xref ref-type="table" rid="T7">
Table 7</xref> shows the calculated sensitivity analysis scores for all of the suggested pipe materials in the baseline case. The resultes in 
                    <xref ref-type="table" rid="T7">Table 7</xref> is used to check how stable the final material ranking is when the weights of the criteria are changed within reasonable limits. This tests how strong the suggested AHP-based selection method is.</p>
                <table-wrap id="T7" orientation="portrait" position="float">
                    <label>
Table 7. </label>
                    <caption>
                        <title>Sensitivity analysis results (scores) under three scenarios.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#FFFF00" valign="top">
Material</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">Baseline</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#BDD7EE" valign="top">SR 10%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#BDD7EE" valign="top">SE 10%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#BDD7EE" valign="top">CS 10%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#B600FF" valign="top">SR 20%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#B600FF" valign="top">SE 20%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#B600FF" valign="top">CS 20%</th>
                                <th align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">
Rank</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PP-R pipe (M4)</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">0.317</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.337</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.304</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.316</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.33</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.295</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.315</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">1</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PVC-U pipe (M3)</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">0.186</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.178</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.197</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.185</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.175</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.201</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.184</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">2</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">Stainless steel pipe (M2)</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">0.183</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.176</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.191</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.186</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.175</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.194</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.189</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">3</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">Copper pipe (M1)</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">0.172</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.171</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.174</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.172</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.169</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.175</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.172</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">4</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFC000" valign="top">PVC galvanized pipe (M5)</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#92D050" valign="top">0.142</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.139</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.136</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.141</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.138</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.133</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.138</td>
                                <td align="left" colspan="1" rowspan="1" style="background-color:#FFE599" valign="top">5</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <p>In addition, 
                    <xref ref-type="table" rid="T7">
Table 7</xref> indicates that the material ranking remains unchanged across all three weight perturbation scenarios, confirming the robustness of the proposed AHP based selection framework to reasonable variations in criteria weights. PP-R (M4) consistently achieves the highest overall score, followed by PVC-U (M3), stainless steel (M2), copper (M1), and PVC galvanized (M5). The obtained ranking is broadly consistent with recent AHP/MCDM studies on pipe material selection, which report competitive performance of polymer based pipes for potable water applications due to their hygienic characteristics and corrosion resistance. In particular, the preference toward PP-R (M4) is in line with AHP based pipe material selection findings reported by Thavamony and Rajagopal,
                    <sup>
                        <xref ref-type="bibr" rid="ref13">13</xref>
                    </sup> while improved decision support formulations for water distribution material selection have been highlighted in recent work such as Wei et al.
                    <sup>
                        <xref ref-type="bibr" rid="ref17">17</xref>
                    </sup> Moreover, the use of a simplified questionnaire and inconsistency-modification procedure is aligned with the improved AHP methodology proposed by Yang et al.,
                    <sup>
                        <xref ref-type="bibr" rid="ref18">18</xref>
                    </sup> supporting the methodological novelty of the present study.</p>
            </sec>
        </sec>
        <sec id="sec15" sec-type="conclusion">
            <title>4. Conclusion</title>
            <p>It is very wonderful to find a tool that helps the decision maker make a multi-criteria decision within various engineering sciences, including material selection, optimal performance, environmental impacts, health, cost, operation, and maintenance. To choose the best pipe material for exerting its maximum efficiency, health and cleanliness, safety and reliability, and low economic cost of energy conservation, it should be familiar with the most often used pipe and its key characteristics, adhere to the pipe selection principle, take various aspects into account, and conduct in-depth analysis. All these issues were considered in this paper.</p>
            <p>In addition, the proposed method was validated through an expanded discussion that benchmarks our ranking against prior AHP/MCDM pipe-material studies.
                <sup>
                    <xref ref-type="bibr" rid="ref17">17</xref>,
                    <xref ref-type="bibr" rid="ref18">18</xref>
                </sup> Based on 
                <xref ref-type="table" rid="T6">
Tables 6</xref>&#x2013;
                <xref ref-type="table" rid="T7">7</xref>, the proposed improved-AHP framework yields a consistent top selection (PP-R, M4) and an unchanged overall ranking under SR, SE&amp;CS weight perturbations (10&#x2013;20%), demonstrating robustness and agreement with recent improved-AHP/MCDM developments for pipe material selection.</p>
            <p>The study concluded that, the PP-R pipe with the largest overall weight (0.695) should be prioritized for use in building WSP basedon the AHP process. By overcoming the constraints of conventional approaches and taking into account a wider range of influencing elements, the application of new questionnaire of AHP can produce more reliable evaluation results.</p>
        </sec>
    </body>
    <back>
        <sec id="sec16" sec-type="data-availability">
            <title>Data availability</title>
            <p>The datasets supporting the results of this work are openly available in Zenodo at: 
                <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5281/zenodo.18716424">https://doi.org/10.5281/zenodo.18716424</ext-link>.
                <sup>
                    <xref ref-type="bibr" rid="ref34">34</xref>
                </sup>
            </p>
            <p>The dataset includes all pairwise comparison matrices, global weight calculations, normalized eigen vectors and sensitivity analysis findings used in this work. The data are provided under the 
                <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International</ext-link> (CC BY 4.0) license.</p>
        </sec>
        <ack>
            <title>Acknowledgments</title>
            <p>The authors thank the Biomedical Engineering Research Center in the University of Anbar for their assistance. The authors thank the anonymous reviewers for their useful comments, which greatly improved the quality of this paper.</p>
        </ack>
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    <sub-article article-type="reviewer-report" id="report468668">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.194642.r468668</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Sirsant</surname>
                        <given-names>Swati</given-names>
                    </name>
                    <xref ref-type="aff" rid="r468668a1">1</xref>
                    <role>Referee</role>
                </contrib>
                <aff id="r468668a1">
                    <label>1</label>Research and Development, Hindustan Colas, Mumbai, Maharashtra, India</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>16</day>
                <month>4</month>
                <year>2026</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Sirsant S</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport468668" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.176577.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>reject</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>The paper presents a decision making framework to support selection of suitable material for water supply pipes considering health safety, reliability and cost efficiency.&#x00a0;</p>
            <p> While the topic chosen is appropriate, the methodology and results are very poor considering its suitability to be indexed as a journal paper.&#x00a0;</p>
            <p> The paper simply applies the AHP process, which is already a well established model, to a specific case.</p>
            <p> The study should specifically include real case studies and data that can validate the suitability of the presented approach,&#x00a0;</p>
            <p> Also. comparison of the approach with other similar models should be tested.</p>
            <p> The conclusion section can be enhanced by adding details of the additional analysis carried out.</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>No</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>No</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>No</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>Water Distribution Networks, Optimization, Soft Computing, Water Resources</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to state that I do not consider it to be of an acceptable scientific standard, for reasons outlined above.</p>
        </body>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report465605">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.194642.r465605</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Karney</surname>
                        <given-names>Bryan</given-names>
                    </name>
                    <xref ref-type="aff" rid="r465605a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-9154-8722</uri>
                </contrib>
                <aff id="r465605a1">
                    <label>1</label>University of Toronto, Toronto, Canada</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>13</day>
                <month>4</month>
                <year>2026</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Karney B</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport465605" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.176577.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>Recommendation: Approved with Reservations&#x00a0;</p>
            <p> </p>
            <p> I have read this paper with some interest but also with a degree frustration.&#x00a0;&#x00a0; Certainly, the issue of material selection for water supply in building is a complicated one.&#x00a0; Insight into the range of choices available the noted criteria &#x2013; that is, of health, reliability and cost &#x2013; used to evaluation these supply pipe choices are welcome and well-targeted.&#x00a0;&#x00a0;&#x00a0;</p>
            <p> </p>
            <p> Available material choices are broad and there IS a need to simplify any advocated selection choice approach lest it be bogged down in complexity.&#x00a0; That complexity might produce the well-known challenge of &#x201c;paralysis through analysis.&#x201d;&#x00a0;&#x00a0;&#x00a0; But my frustration stems from what I view as an over-simplification of the selection approach, an over-simplification that might in some cases lead to poor material choices.&#x00a0;</p>
            <p> </p>
            <p> A minor frustration with the paper is the context of the pipeline material selection is not made clear from the outset.&#x00a0; &#x00a0;I have worked extensively in public water supply and the term "water supply pipe" is often used for the pipes that deliver water TO homes, factories, institutions and businesses.&#x00a0; As one reads the paper, it gradually becomes clear the work is not about those pipes, but about building piping; that is, the water supply pipelines within a structure, rather than to a structure.&#x00a0;&#x00a0;&#x00a0; Once clarified, this does set the paper&#x2019;s context, but as the range of buildings and applications is huge, it would be helpful to know what class of buildings the authors envision.&#x00a0; &#x00a0;The nature, size and use of those buildings is, in fact, never clarified.&#x00a0; The building type is crucial to understanding how things like health, reliability and cost are nuanced.&#x00a0; &#x00a0;There are important distinctions between, say, a hospital, a home, an industrial process or a high-rise building.&#x00a0; It is hard to imagine in these varied contexts that the same criteria and options have the same impact relative to cost, reliability and health.</p>
            <p> </p>
            <p> </p>
            <p> One of the purposes of a supply pipe in a building is to convey sufficient water and with adequate pressure from the water source to the point of use.&#x00a0; &#x00a0;This implies hydraulic considerations are often rather central to the choice of many pipe parameters, though particularly pipe diameter.&#x00a0;&#x00a0; But diameter, and the related issues of wall thickness and/or pressure class, influence the relative costs and performance of different materials.&#x00a0;&#x00a0; Thus, for example, the kind of choice of a copper pipe is not necessarily thin walled, but might also have even medium or thick choices.&#x00a0; Thus, hydraulics must often be included in the selection process (only thin walled is considered).&#x00a0; If a pipe is subject to high pressures or is relatively large in diameter, say for example in a high-rise building, or the sources is somewhat low in pH, this context might have a strong impact on the choice of pipe material.&#x00a0; Stainless steel tends to be rarely used except for certain industrial or health applications.&#x00a0; &#x00a0;Wall thickness is often highly relevant to the issue of material choice and it is not clear why this was omitted.&#x00a0;</p>
            <p> </p>
            <p> One other minor point might be raised.&#x00a0; Interpreting or nuancing the different AHP outputs would appear to required some skill.&#x00a0;&#x00a0; The authors might have given readers more assistance in interpreting the output of the AHP: &#x00a0;how are different values and weights are reflected in the decision that might be suggested?</p>
            <p> </p>
            <p> Overall, the paper does have some value as one of the inputs of pipe material choice.&#x00a0; For the most part, the paper is clearly written and easily comprehensible.&#x00a0;</p>
            <p> </p>
            <p> &#x00a0;There are some instances awkward expressions and there is some sudden jumping between topics that can be distracting, but these are minor.</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Not applicable</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Partly</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>No</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Partly</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Partly</p>
            <p>Reviewer Expertise:</p>
            <p>Hydraulics, water supply, pumping, energy systems and hydro power, engineering decision; urban infrastructure</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
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