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一种加权概率犹豫模糊集多属性群决策算法

朱国成 陈利群

吉首大学学报(自然科学版)2025,Vol.46Issue(3):9-20,12.
吉首大学学报(自然科学版)2025,Vol.46Issue(3):9-20,12.DOI:10.13438/j.cnki.jdzk.2025.03.003

一种加权概率犹豫模糊集多属性群决策算法

Multi-Attribute Group Decision Making Algorithm of Weighted Probabilistic Hesitant Fuzzy Sets

朱国成 1陈利群1

作者信息

  • 1. 广东创新科技职业学院通识教育学院,广东东莞 523960
  • 折叠

摘要

Abstract

In order to make the comprehensive evaluation factor value of each scheme contain more evalua-tion information,a three-factor decision algorithm is designed.For each evaluation attribute,the com-prehensive weights of other evaluation experts are calculated in turn according to the scores of authorita-tive evaluation experts.According to the evaluation information given by the evaluation experts with dif-ferent comprehensive weights,the true function value,the virtual function value and the distance calcula-tion formulas of two weighted probabilistic hesitant fuzzy elements are given respectively.Based on the calculation results of truth-value function and virtual-value function,entropy method is used to obtain the objective weights of evaluation attributes.On the evaluation attributes with different comprehensive weights,the comprehensive evaluation factor values of each scheme are obtained by using the truth func-tion values,virtual function values and distance calculation results,and the schemes are ranked according to the comprehensive evaluation factor values.The feasibility of the decision algorithm is verified by a nu-merical example.

关键词

加权概率犹豫模糊集/加权概率犹豫模糊元/权威评估专家/熵值法

Key words

weighted probabilistic hesitant fuzzy set/weighted probabilistic hesitant fuzzy element/au-thoritative decision-making expert/entropy method

分类

数学

引用本文复制引用

朱国成,陈利群..一种加权概率犹豫模糊集多属性群决策算法[J].吉首大学学报(自然科学版),2025,46(3):9-20,12.

基金项目

广东省普通高校特色创新类项目(2024KTSCX403,2023KTSCX414) (2024KTSCX403,2023KTSCX414)

广东创新科技职业学院特色创新类重点项目(2023TSZD05) (2023TSZD05)

广东创新科技职业学院教育教学改革研究与实践重点项目(JGZD202302) (JGZD202302)

吉首大学学报(自然科学版)

1007-2985

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