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Chinese Journal of Management Science ›› 2022, Vol. 30 ›› Issue (11): 216-228.doi: 10.16381/j.cnki.issn1003-207x.2020.0938

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A Multiple-attribute Decision-making Method Based on the Dual Hesitant Fuzzy Geometric Heronian Means Operator and Its Application

QU Guo-hua1, WANG Bin-yu1, QU Wei-hua2,3, XU Ze-shui4, ZHANG Qiang5   

  1. 1. School of Management Science and Engineering,Shanxi University of Finance and Economics, Taiyuan 030006, China; 2. Institute of Management and Decision,Shanxi University, Taiyuan 030006, China; 3. School of Economics and Management,Shanxi University, Taiyuan 030006, China; 4. Shool of Business, Sichuan University, Chengdu 610064, China; 5. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2020-05-21 Revised:2020-09-14 Online:2022-11-20 Published:2022-11-28
  • Contact: 曲卫华 E-mail:quweihua@sxu.edu.cn

Abstract: Motivated by the problem that aggregates the membership, nonmembership and association, the dual hesitant fuzzy information is combined with the geometric Heronian means operator in this paper, and the dual hesitant fuzzy geometric Heronian means (DHFGHM) operator and dual hesitant fuzzy geometric weighted Heronian means (DHFGWHM) operator are defined. Meanwhile, the properties of these new operators are investigated, including Idempotency, Commutativity, Monotonicity and Boundedness. Then, for the multi-attribute decision-making problem with the dual hesitant fuzzy attributes, the model based on the dual hesitant fuzzy geometric weighted Heronian means (DHFGWHM) operator is established. Furthermore, based on this model, a multi-attribute decision-making method with the DHFGWHM operator is proposed. Finally, an example is shown to verify the effectiveness and feasibility of the given method.

Key words: dual hesitant fuzzy sets; dual hesitant fuzzy geometric Heronian means operator; dual hesitant fuzzy geometric weighted Heronian means operator; multiple attribute decision making

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