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Comparison of Several Aggregation Techniques for Deriving Analytic Network Process Weights

Author

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  • Nehal Elshaboury

    (Housing and Building National Research Center)

  • Tarek Attia

    (Housing and Building National Research Center)

  • Mohamed Marzouk

    (Cairo University)

Abstract

Water pipelines are exposed to severe aging and deterioration challenges. The weights of importance of deterioration factors shall be estimated to predict the condition of underground water pipelines. Analytic network process (ANP) is one of the most common multiple criteria decision making techniques. The fuzzy set theory has been employed to tackle the vagueness and imprecision in human judgments. Accordingly, the overarching aim of this research is computing the weights of importance of these factors using fuzzy ANP (FANP). Chang’s extent analysis method is one of the most frequently used algorithms in FANP. For group decision making, two aggregation approaches are considered, namely geometric mean (GEO) and minimum-maximum (MIN-MAX). The performance of the modified extent analysis method is evaluated against the original method using four evaluation measures. These measures are satisfactory index, group minimum violations, group Euclidean distance, and distance between weights. Most of the evaluation measures indicate that the modified extent analysis (MIN-MAX) method exhibits better results than other methods. A water distribution network in Shaker Al-Bahery, Egypt is used to demonstrate the application of the proposed model.

Suggested Citation

  • Nehal Elshaboury & Tarek Attia & Mohamed Marzouk, 2020. "Comparison of Several Aggregation Techniques for Deriving Analytic Network Process Weights," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4901-4919, December.
    • Handle: RePEc:spr:waterr:v:34:y:2020:i:15:d:10.1007_s11269-020-02698-y
    DOI: 10.1007/s11269-020-02698-y
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    References listed on IDEAS

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    1. Petra Grošelj & Špela Pezdevšek Malovrh & Lidija Zadnik Stirn, 2011. "Methods based on data envelopment analysis for deriving group priorities in analytic hierarchy process," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 267-284, September.
    2. Wang, Ying-Ming & Luo, Ying & Hua, Zhongsheng, 2008. "On the extent analysis method for fuzzy AHP and its applications," European Journal of Operational Research, Elsevier, vol. 186(2), pages 735-747, April.
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    4. Shaher H. Zyoud & Daniela Fuchs-Hanusch, 2019. "Comparison of Several Decision-Making Techniques: A Case of Water Losses Management in Developing Countries," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 1551-1578, September.
    5. Guanjie He & Junrui Chai & Yuan Qin & Zengguang Xu & Shouyi Li, 2020. "Coupled Model of Variable Fuzzy Sets and the Analytic Hierarchy Process and its Application to the Social and Environmental Impact Evaluation of Dam Breaks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(9), pages 2677-2697, July.
    6. Mahsa Ghandi & Abbas Roozbahani, 2020. "Risk Management of Drinking Water Supply in Critical Conditions Using Fuzzy PROMETHEE V Technique," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(2), pages 595-615, January.
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    Cited by:

    1. Alessandro Pagano & Raffaele Giordano & Michele Vurro, 2021. "A Decision Support System Based on AHP for Ranking Strategies to Manage Emergencies on Drinking Water Supply Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(2), pages 613-628, January.
    2. Salehi, Sattar & Robles-Velasco, Alicia & Seyedzadeh, Ali & Ghazali, Aliakbar & Davoudiseresht, Mohsen, 2022. "A hybrid knowledge-based method for pipe renewal planning in Water Distribution Systems with limited data: Application to Iran," Utilities Policy, Elsevier, vol. 78(C).

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