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A Compromise Ratio Method with an Application to Water Resources Management: An Intuitionistic Fuzzy Set

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  • Hassan Hashemi
  • Jalal Bazargan
  • S. Mousavi

Abstract

Water resources management can be regarded as an iterative process of general decision making considering the applications and modifications of waters and related lands within a geographic region. This process helps decision makers to balance their diverse requirements and applications of water as an environmental resource, and to recognize how their activities can have impacts on the long-term sustainability. This paper introduces a new compromise ratio method based on Atanassov’s intuitionistic fuzzy sets under multiple criteria in real-life situations. Atanassov’s intuitionistic fuzzy weighted averaging (AIFWA) operator is applied to aggregate individual judgments of the decision makers to rate the relative importance of the selected criteria and potential alternatives. Then a new Atanassov’s intuitionistic fuzzy ranking index is proposed to analyze the potential alternatives. Finally, the performance of the proposed fuzzy decision-making method is illustrated to a real water resources management problem from the recent literature. Computational results demonstrate that the presented method can be utilized in a large-scale multi-level assessment process to assist the decision makers the optimal solution among the potential alternatives with multiple conflicting and compromising criteria. Copyright Springer Science+Business Media Dordrecht 2013

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  • Hassan Hashemi & Jalal Bazargan & S. Mousavi, 2013. "A Compromise Ratio Method with an Application to Water Resources Management: An Intuitionistic Fuzzy Set," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2029-2051, May.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:7:p:2029-2051
    DOI: 10.1007/s11269-013-0271-x
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