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

Yanru Zhong, Zhengshuai Lu, Yiyuan Li (), Yuchu Qin and Meifa Huang
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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

Mathematics, 2023, vol. 11, issue 16, 1-14

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.

Keywords: interval-valued hesitant fuzzy element; aggregation operator; weighted geometric operator; multi-criterion decision-making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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