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

作　　者：朱国成[1] 张娟[2] 徐健 ZHU Guocheng;ZHANG Juan;XU Jian(School of General Education,Guangdong Innovative Technical College,Dongguan 523960,China;Science and Technology Department,Guangdong Innovative Technical College,Dongguan 523960,China)

机构地区：[1]广东创新科技职业学院通识教育学院,广东东莞523960 [2]广东创新科技职业学院科技处,广东东莞523960

出　　处：《中国计量大学学报》2024年第1期106-115,共10页Journal of China University of Metrology

基　　金：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)。

摘　　要：目的:研究概率区间值犹豫模糊集及应用。方法:将概率区间值犹豫模糊数,用区间值隶属度的中位数、区间值隶属度的清晰度以及概率构成的三维点坐标进行刻画,在此基础上提出了概率区间值犹豫模糊元的相关运算。根据概率区间值犹豫模糊元的相关运算采用熵值法计算属性权重。最后基于TOPSIS思想给出了一个新的贴近度公式,并利用新的贴近度公式对方案排序。结果:建立的概率区间值犹豫模糊集多属性群决策模型可以有效排序方案。结论:将概率区间值犹豫模糊集采用区间值隶属度的中位数、区间值隶属度的清晰度以及概率来表示不仅可行,而且可以用来解决多属性群决策问题。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 TOPSIS 

分 类 号：O159[理学—数学]