加权概率区间值犹豫模糊集及决策应用  

Weighted Probabilistic Interval Valued Hesitant Fuzzy Sets and Decision Applications

作　　者：朱国成[1] 胡伟[2] 张娟[1] ZHU Guocheng;HU Wei;ZHANG Juan(School of General Education,Guangdong Innovative Technical College,Dongguan Guangdong 523960,China;School of Business Administration,Guangzhou Vocational University of Science and Technology,Guangzhou Guangdong 511442,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]广州科技贸易职业学院经济管理学院,广东广州511442

出　　处：《新疆大学学报（自然科学版）（中英文）》2023年第5期582-590,共9页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：广东创新科技职业学院特色创新类重点项目“基于犹豫模糊集的决策模型及应用”(2023TSZD05).

摘　　要：对概率区间值犹豫模糊集中的不同区间值隶属度赋予了决策专家权重,定义了加权概率区间值犹豫模糊集(WPIVHFS).针对WPIVHFS中的加权概率区间值犹豫模糊数,采用区间值隶属度的中位数、区间值隶属度的清晰度、概率以及相对应的决策专家权重构成四维点坐标进行刻画,在此基础上建立了加权概率区间值犹豫模糊元(WPIVHFE)的外部固定函数模型、内部稳定函数模型、2个WPIVHFE的大小比较准则与距离测度模型.利用熵值法分别计算属性的外部权重与内部权重,并依据属性的外部权重与内部权重相离程度值来确定属性的综合权重.考虑方案的外部固定函数值、内部稳定函数值来计算各个方案的综合属性值.方案的排序结果表明:在采用四维点坐标来描述WPIVHFS的基础上建立的决策算法不但科学有效,而且提供了一种多角度观察方案排序结果的方法.The weighted probabilistic interval valued hesitant fuzzy set(WPIVHFS)is defined by assigning the weight of expert to the different interval valued membership degrees of the probabilistic interval valued hesitant fuzzy set.Aiming at the weighted probabilistic interval valued hesitant fuzzy number in WPIVHFS,the four-dimensional point coordinates composed of the median of interval valued membership degree,the clarity of interval valued membership degree,the probabilistic interval valued membership degree and the corresponding decision-making expert weight are used to describe.On this basis,the external fixed function model,internal stability function model,twoWPIVHFEs,size comparison criteria and distance measure model are established.The entropy method is used to calculate the external weight and internal weight respectively,and the comprehensive weight of the attribute is determined according to the degree of separation between the external weight and internal weight of the attribute.Considering the external fixed function value and the internal stable function value,the comprehensive attribute value of each scheme is calculated.The results of the scheme show that the decision algorithm established on the basis of using four-dimensional point coordinates to describe WPIVHFS is not only scientific and effective,but also provides a method to observe the scheme ranking results from multiple angles.

关 键 词：加权概率区间值犹豫模糊集 四维点坐标 加权概率区间值犹豫模糊元 外部固定函数模型 内部稳定函数模型 熵值法 

分 类 号：O159[理学—数学]