PIVHFS中计算关联决策专家权重的多属性群决策方法研究  

Multi-Attribute Group Decision Making Method for Calculating Expert Weights in Probabilistic Interval-Value Hesitant Fuzzy Sets

作　　者：朱国成[1] 徐健 赵瑞华 ZHU Guo-cheng;XU Jian;ZHAO Rui-hua(Science and Technology Association,Guangdong Innovative Technical College,Dongguan 523960,Guangdong,China;Biology Group,Yun An Middle School,Yunfu 523960,Guangdong,China)

机构地区：[1]广东创新科技职业学院科学技术协会,广东东莞523960 [2]云安中学生物组,广东云浮527500

出　　处：《喀什大学学报》2022年第6期11-17,共7页Journal of Kashi University

基　　金：广东创新科技职业学院特色创新类重点资助项目“概率犹豫模糊集新的测度范式及应用”(2022TSZD05)。

摘　　要：研究概率区间值犹豫模糊集(PIVHFS)中考虑决策专家权重的多属性群决策问题.首先,计算考虑决策专家权重的概率犹豫模糊元的综合值,并采用熵值法计算属性权重;其次,建立对各方案的综合值进行两两比较的积型模糊互补判断矩阵,利用Maclaurin对称平均算子对积型模糊互补判断矩阵中各方案的比较数值结果进行集结并排序;最后,通过一个数值算例验证了算法的可行性,同时,与概率区间值犹豫模糊集中没有考虑决策专家权重的算法结果进行了对比,对比结果表明了在概率犹豫模糊集中考虑决策专家权重的必要性.The problem of multi-attribute group decision making with probability interval value hesitant fuzzy sets considering expert weight is studied. Firstly,the synthetic value of the probabilistic hesitant fuzzy element considering the weight of decision experts is calculated,and the attribute weight is calculated by entropy method. Secondly,the product type fuzzy complementary judgment matrix was established to compare the comprehensive values of each scheme in pairs,and the Maclaurin symmetric average operator was used to aggregate and sort the comparison numerical results of each scheme in the product type fuzzy complementary judgment matrix. Finally,a numerical example is given to verify the feasibility of the algorithm,and the results are compared with the results of the algorithm without considering the weight of decision experts in the probabilistic interval value hesitant fuzzy set. The comparison results show that it is necessary to consider the weight of decision experts in the probabilistic hesitant fuzzy set.

关 键 词：概率区间值犹豫模糊集 决策专家权重 积型模糊互补判断矩阵 排序 

分 类 号：O159[理学—数学]