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Multi-Attribute Decision-Making Approach Based on Dual Hesitant Fuzzy Information Measures and Their Applications

Author

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  • Huiping Chen

    (School of Management, Shanghai University, Shanghai 200444, China
    Department of Social Resources, Nantong University, Nantong 226019, China)

  • Guiqiong Xu

    (School of Management, Shanghai University, Shanghai 200444, China)

  • Pingle Yang

    (School of Management, Shanghai University, Shanghai 200444, China
    School of Electrical and Information Engineering, Jiangsu University of Science and Technology, Zhangjiagang 215600, China)

Abstract

Combining the ideas and advantages of intuitionistic fuzzy set (IFS) and hesitant fuzzy set (HFS), dual hesitant fuzzy set (DHFS) could express uncertain and complex information given by decision makers (DMs) in a more flexible manner. By virtue of the existing measure methods, elements in DHFSs should be of equal length and thus some values must be added into the shorter elements according to the risk preference of DMs. The extension of values will increase the subjectivity of decision-making to some extent, and different extension methods may produce different results. In order to address this issue, we first propose several new forms of distance and similarity measures without adding values. Subsequently, according to the proposed distance and similarity measures, two entropy measures are presented from the viewpoints of complementary set and the fuzziest set, respectively. Furthermore, based on the new distance and entropy measures, an extended technique for order preference by similarity to an ideal solution (TOPSIS) method is proposed for dealing with multi-attribute decision-making problems in the context of DHFS. Finally, two practical examples are analyzed to show the validity and applicability of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:786-:d:260857
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    References listed on IDEAS

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    Cited by:

    1. Li Li & Hegong Lei & Jun Wang, 2020. "Q -Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(9), pages 1-34, September.
    2. Lihui Liu & Hepu Deng, 2020. "A Fuzzy Approach for Ranking Discrete Multi-Attribute Alternatives under Uncertainty," Mathematics, MDPI, vol. 8(6), pages 1-12, June.

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