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An Improved Interval-Valued Hesitant Fuzzy Weighted Geometric Operator for Multi-Criterion Decision-Making

Author

Listed:
  • Yanru Zhong

    (Guangxi Key Laboratory of Intelligent Processing of Computer Images and Graphic, Guilin University of Electronic Technology, Guilin 541004, China)

  • Zhengshuai Lu

    (Guangxi Key Laboratory of Intelligent Processing of Computer Images and Graphic, Guilin University of Electronic Technology, Guilin 541004, China)

  • Yiyuan Li

    (Guangxi Key Laboratory of Intelligent Processing of Computer Images and Graphic, Guilin University of Electronic Technology, Guilin 541004, China)

  • Yuchu Qin

    (School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, China)

  • Meifa Huang

    (School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, China)

Abstract

In this paper, an improved interval-valued hesitant fuzzy weighted geometric (IIVHFWG) operator for multi-criterion decision-making is proposed. This operator is free of the limitations of the existing interval-valued hesitant fuzzy weighted average operator, interval-valued hesitant fuzzy weighted geometric operator, generalized interval-valued hesitant fuzzy weighted geometric operator, interval-valued hesitant fuzzy Hammer weighted average operator, and interval-valued hesitant fuzzy Hammer weighted geometric operator, which are prone to being influenced by extreme values. Based on the proposed IIVHFWG operator, a new method to solve the multi-criterion decisionmaking problems with interval-valued hesitant fuzzy elements is presented. Several numerical examples together with comparisons are introduced to demonstrate the effectiveness and advantages of this method.

Suggested Citation

  • Yanru Zhong & Zhengshuai Lu & Yiyuan Li & Yuchu Qin & Meifa Huang, 2023. "An Improved Interval-Valued Hesitant Fuzzy Weighted Geometric Operator for Multi-Criterion Decision-Making," Mathematics, MDPI, vol. 11(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3561-:d:1219416
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    References listed on IDEAS

    as
    1. Liang-Guo Li & Ding-Hong Peng, 2014. "Interval-Valued Hesitant Fuzzy Hamacher Synergetic Weighted Aggregation Operators and Their Application to Shale Gas Areas Selection," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-25, April.
    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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