中国计量大学学报2024，Vol.35Issue(1)：106-115,10.DOI:10.3969/j.issn.2096-2835.2024.01.014
概率区间值犹豫模糊集多属性群决策模型及其应用
A probabilistic interval-valued hesitant fuzzy set multi-attribute group decision model and its application
摘要
Abstract
Aims:This paper aims to study the probabilistic interval-valued hesitant fuzzy set and its application.Methods:The probabilistic interval-valued hesitant fuzzy number was described by the median of interval valued membership,the clarity of interval-valued membership and the three dimensional points formed by probability.The correlation operation of the probabilistic interval-valued hesitant fuzzy element was proposed.The entropy method was used to calculate the attribute weight according to the correlation operation of the probabilistic interval-valued hesitant fuzzy element.Finally,based on the TOPSIS idea,a new approximation formula was given;and the scheme was sorted by the new approximation formula.Results:The established probabilistic interval-valued hesitant fuzzy set multi-attribute group decision model could effectively rank schemes.Conclusions:It is not only feasible to represent probabilistic interval-valued hesitant fuzzy sets by the median of interval-valued membership,the clarity of interval-valued membership and the probability,but also it can be used to solve the multi-attribute group decision making problem.关键词
概率区间值犹豫模糊集/三维点坐标/外值函数模型/内值函数模型/TOPSISKey words
probabilistic interval-valued hesitant fuzzy set/three-dimensional point coordinates/outer value function model/inner value function model/TOPSIS分类
数理科学引用本文复制引用
朱国成,张娟,徐健..概率区间值犹豫模糊集多属性群决策模型及其应用[J].中国计量大学学报,2024,35(1):106-115,10.基金项目
2023年广东省普通高校特色创新类项目(No.2023KTSCX414),广东创新科技职业学院特色创新类重点项目(No.2023TSZD05),广东创新科技职业学校教育教学改革与实践重点项目(No.JGZD202302) （No.2023KTSCX414）
