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Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making

Author

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  • Mi Jung Son

    (Department of Data Information, Korea Maritime and Ocean University, Busan 606-791, Korea)

  • Jin Han Park

    (Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea)

  • Ka Hyun Ko

    (Department of Applied Mathematics, Pukyong National University, Busan 608-737, Korea)

Abstract

As an extension of the fuzzy set, the hesitant fuzzy set is used to effectively solve the hesitation of decision-makers in group decision-making and to rigorously express the decision information. In this paper, we first introduce some new hesitant fuzzy Hamacher power-aggregation operators for hesitant fuzzy information based on Hamacher t -norm and t -conorm. Some desirable properties of these operators is shown, and the interrelationships between them are given. Furthermore, the relationships between the proposed aggregation operators and the existing hesitant fuzzy power-aggregation operators are discussed. Based on the proposed aggregation operators, we develop a new approach for multiple-attribute decision-making problems. Finally, a practical example is provided to illustrate the effectiveness of the developed approach, and the advantages of our approach are analyzed by comparison with other existing approaches.

Suggested Citation

  • Mi Jung Son & Jin Han Park & Ka Hyun Ko, 2019. "Some Hesitant Fuzzy Hamacher Power-Aggregation Operators for Multiple-Attribute Decision-Making," Mathematics, MDPI, vol. 7(7), pages 1-33, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:594-:d:245013
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    References listed on IDEAS

    as
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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.

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