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基于毕达哥拉斯概率犹豫模糊集的VIKOR多属性决策方法

Jiang Dengying Zuo Hongyu

统计与决策2025,Vol.41Issue(24):52-58,7.
统计与决策2025,Vol.41Issue(24):52-58,7.DOI:10.13546/j.cnki.tjyjc.2025.24.009

基于毕达哥拉斯概率犹豫模糊集的VIKOR多属性决策方法

VIKOR Multi-attribute Decision-making Method Based on the Pythagorean Probability Hesitant Fuzzy Set

Jiang Dengying 1Zuo Hongyu2

作者信息

  • 1. School of Science,Wuhan University of Technology,Wuhan 430070,China||School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China
  • 2. School of Science,Wuhan University of Technology,Wuhan 430070,China
  • 折叠

摘要

Abstract

This paper proposes a VIKOR multi-attribute decision-making method based on the improved score function,ex-act function,and distance measure for multi-attribute decision-making problems under Pythagorean probability hesitant fuzzy en-vironment.Firstly,in response to the shortcomings of existing formulas when analyzing the equivalent Pythagorean probability hes-itant fuzzy elements,an improved score function,exact function,and distance measure are proposed,and their basic properties are verified through typical examples and theoretical proof.Secondly,the group utility value,individual regret value,and compromise value are calculated based on the improved functions and measurement formulas,and a new Pythagorean probability hesitant fuzzy VIKOR multi-attribute decision-making method is proposed.Finally,the example analysis confirms the effectiveness of the pro-posed method.The results show that this method improves existing formulas,avoids the problem of artificially adding elements that affect decision results,and extends the VIKOR multi-attribute decision-making method to the Pythagorean probability hesitant fuzzy environment,considering the distance between the solution and the ideal solution from multiple perspectives,making the de-cision results more credible and realistic.

关键词

多属性决策/得分函数/精确函数/距离测度/VIKOR

Key words

multi-attribute decision-making/score function/exact function/distance measure/VIKOR

分类

管理科学

引用本文复制引用

Jiang Dengying,Zuo Hongyu..基于毕达哥拉斯概率犹豫模糊集的VIKOR多属性决策方法[J].统计与决策,2025,41(24):52-58,7.

统计与决策

OA北大核心

1002-6487

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