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Cross-Entropy of Dual Hesitant Fuzzy Sets for Multiple Attribute Decision-Making

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  • Jun Ye

    (Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, China)

Abstract

This paper proposes a cross-entropy measure between dual hesitant fuzzy sets (DHFSs) as an extension of the cross-entropy measures of intuitionistic fuzzy sets. Then the cross-entropy measure between DHFSs is applied to multiple attribute decision making under dual hesitant fuzzy environments. Through the weighted cross-entropy measure between each alternative and the ideal alternative, we can obtain the ranking order of all alternatives and the best one. The decision-making method based on the cross-entropy measure of DHFSs can deal with dual hesitant fuzzy multiple attribute decision making problems and can automatically take into account much more information than existing hesitant (or intuitionistic) fuzzy decision-making methods and the differences of the evaluation data given by different experts or decision makers. Finally, a practical example about investment alternatives is given to demonstrate the application and effectiveness of the developed approach.

Suggested Citation

  • Jun Ye, 2016. "Cross-Entropy of Dual Hesitant Fuzzy Sets for Multiple Attribute Decision-Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 8(3), pages 20-30, July.
    • Handle: RePEc:igg:jdsst0:v:8:y:2016:i:3:p:20-30
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    Cited by:

    1. Xiao-Wen Qi & Jun-Ling Zhang & Shu-Ping Zhao & Chang-Yong Liang, 2017. "Tackling Complex Emergency Response Solutions Evaluation Problems in Sustainable Development by Fuzzy Group Decision Making Approaches with Considering Decision Hesitancy and Prioritization among Asse," IJERPH, MDPI, vol. 14(10), pages 1-35, October.
    2. Huiping Chen & Guiqiong Xu & Pingle Yang, 2019. "Multi-Attribute Decision-Making Approach Based on Dual Hesitant Fuzzy Information Measures and Their Applications," Mathematics, MDPI, vol. 7(9), pages 1-18, August.

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