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Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection

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  • Jian Lin
  • Fanyong Meng
  • Riqing Chen
  • Qiang Zhang

Abstract

Many applications of intuitionistic fuzzy sets depend on ranking or comparing intuitionistic fuzzy numbers. This paper presents a novel ranking method for intuitionistic fuzzy numbers based on the preference attitudinal accuracy and score functions. The proposed ranking method considers not only the preference attitude of decision maker, but also all the possible values in feasible domain. Some desirable properties of preference attitudinal accuracy and score functions are verified in detail. A total order on the set of intuitionistic fuzzy numbers is established by using the proposed two functions. The proposed ranking method is also applied to select renewable energy. The advantage and validity of the proposed method are shown by comparing with some representative ranking methods.

Suggested Citation

  • Jian Lin & Fanyong Meng & Riqing Chen & Qiang Zhang, 2018. "Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection," Complexity, Hindawi, vol. 2018, pages 1-14, February.
    • Handle: RePEc:hin:complx:6251384
    DOI: 10.1155/2018/6251384
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    References listed on IDEAS

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    1. Ye, Jun, 2010. "Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment," European Journal of Operational Research, Elsevier, vol. 205(1), pages 202-204, August.
    2. Liu, Hua-Wen & Wang, Guo-Jun, 2007. "Multi-criteria decision-making methods based on intuitionistic fuzzy sets," European Journal of Operational Research, Elsevier, vol. 179(1), pages 220-233, May.
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