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Extension of Fuzzy Delphi AHP Based on Interval-Valued Fuzzy Sets and its Application in Water Resource Rating Problems

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Abstract

Water resource management problems are complex by nature and are often accompanied by many uncertainties, requiring suitable decision-making tools to solve. If decision makers cannot agree on a method of defining linguistic variables based on the fuzzy sets, favorable results and more accurate modeling can be achieved by using interval-valued fuzzy sets (IVFSs), which provide an additional degree of freedom to represent the uncertainty and fuzziness of the real world. Accordingly, this study is aimed to extend a fuzzy Delphi analytic hierarchy process (AHP) based on IVFSs (Interval-Valued Fuzzy Delphi AHP) and its application to large-scale rating problems related to water resource management. The proposed method is subsequently applied to select an optimal strategy for the rural water supply of Nohoor Village in northeast Iran, as a case study and actual water resource rating problem. According to sensitivity analyses of the results and a comparison of the results with a real project, the proposed method offers good outcomes for water resource rating problems.

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References

  • Afshar A, Mariño MA, Saadatpour M, Afshar A (2011) Fuzzy TOPSIS multi-criteria decision analysis applied to Karun reservoirs system. Water Resour Manag 25(2):545–563

    Article  Google Scholar 

  • Ashtiani B, Haghighirad F, Makui A, Montazer GA (2009) Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets. Appl Soft Comput 9:457–461

    Article  Google Scholar 

  • Asl Rousta B, Araghinejad S (2015) Development of a multi criteria decision making tool for a water resources decision support system. Water Resour Manag 29(15):5713–5727

    Article  Google Scholar 

  • Chen SM, Lee LW (2010) a Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. Expert Syst Appl 37:2790–2798

    Article  Google Scholar 

  • Chitsaz N, Banihabib ME (2015) Comparison of different multi criteria decision-making models in prioritizing flood management alternatives. Water Resour Manag 29(8):2503–2525

    Article  Google Scholar 

  • Dalkey N, Helmer O (1963) An experimental application of the Delphi method to the use of experts. Manag Sci 9(3):458–467

    Article  Google Scholar 

  • Elmdoust AA, Kerachian R (2014) Evaluating the relative power of water users in inter-basin water transfer systems. Water Resour Manag 28(2):495–509

    Article  Google Scholar 

  • Gorzalczany MB (1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Set Syst 21(1):1–17

    Article  Google Scholar 

  • Grzegorzewski P (2004) Distances between intuitionistic fuzzy sets and/or interval valued fuzzy sets based on the Hausdorff metric. Fuzzy Set Syst 148(2):319–328

    Article  Google Scholar 

  • Hong DH, Lee S (2002) Some algebraic properties and a distance measure for interval valued fuzzy numbers. Inf Sci 148(1–4):1–10

    Article  Google Scholar 

  • Kaufmann A, Gupta MM (1988) Fuzzy mathematical models in engineering and management science. Elsevier Science Inc, New York

    Google Scholar 

  • Liu P (2011) An extended TOPSIS method for multiple attribute group decision making based on generalized interval-valued trapezoidal fuzzy numbers. Informatica 35:185–196

    Google Scholar 

  • Liu YC, Chen CS (2007) A new approach for application of rock mass classification on rock slope stability assessment. Eng Geol 89:129–143

    Article  Google Scholar 

  • Minatour Y, Bonakdari H, Zarghami M, Ali Bakhshi M (2015) Water supply management using an extended group fuzzy decision-making method: a case study in north-eastern Iran. Appl Water Sci 5(3):291–304

    Article  Google Scholar 

  • Panagopoulos GP, Bathrellos GD, Skilodimou HD, Martsouka FA (2012) Mapping urban water demands using multi-criteria analysis and GIS. Water Resour Manag 26(5):1347–1363

    Article  Google Scholar 

  • Razavi Toosi SL, Samani JMV (2012) Evaluating water transfer projects using Analytic Network Process (ANP). Water Resour Manag 26(7):1999–2014

    Article  Google Scholar 

  • Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York

    Google Scholar 

  • Saaty TL (2001) How to make a decision? In: Saaty TL, Vargas LG (eds) Models, methods, concepts and applications of the analytic hierarchy process. Chap 1. Springer, New Mexico, pp 1–25

    Chapter  Google Scholar 

  • Sadiq R, Tesfamariam S (2009) Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP). Stoch Env Res Risk A 23:75–91

    Article  Google Scholar 

  • Turksen IB (1986) Interval valued fuzzy sets based on normal forms. Fuzzy Set Syst 20(2):191–210

    Article  Google Scholar 

  • Vahdani B, Hadipour H (2011) Extension of the ELECTRE method based on interval-valued fuzzy sets. Soft Comput 15:569–579

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Civil Engineering, University of Torbat-e Jam, Torbat-e Jam, Iran

    Yasser Minatour

  2. Department of Civil Engineering, Razi University, Kermanshah, Iran

    Hossein Bonakdari

  3. Department of Agriculture Engineering, University of Torbat-e Jam, Torbat-e Jam, Iran

    Zahra Shirmohammadi Aliakbarkhani

Authors
  1. Yasser Minatour
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  2. Hossein Bonakdari
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  3. Zahra Shirmohammadi Aliakbarkhani
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Correspondence to Hossein Bonakdari.

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Minatour, Y., Bonakdari, H. & Aliakbarkhani, Z.S. Extension of Fuzzy Delphi AHP Based on Interval-Valued Fuzzy Sets and its Application in Water Resource Rating Problems. Water Resour Manage 30, 3123–3141 (2016). https://doi.org/10.1007/s11269-016-1335-5

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  • DOI: https://doi.org/10.1007/s11269-016-1335-5

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