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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

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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.

probabilistic interval-valued hesitant fuzzy setthree-dimensional point coordinatesouter value function modelinner value function modelTOPSIS

朱国成、张娟、徐健

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广东创新科技职业学院通识教育学院,广东东莞 523960

广东创新科技职业学院科技处,广东东莞 523960

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

广东省普通高等学校特色创新类项目(2023)广东创新科技职业学院特色创新类重点项目广东创新科技职业学校教育教学改革与实践重点项目

2023KTSCX4142023TSZD05JGZD202302

2024

10.3969/j.issn.2096-2835.2024.01.014

中国计量大学学报
中国计量学院

中国计量大学学报

CHSSCD
影响因子：0.357
ISSN：2096-2835
年,卷(期)：2024.35(1)
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