二维变量信息视角下的概率犹豫模糊集决策方法研究  

Research on probabilistic hesitant fuzzy set decision making method from the perspective of two-dimensional variable information

作　　者：朱国成[1] 赵瑞华 陈利群[1] ZHU Guo-cheng;ZHAO Rui-hua;CHEN Li-qun(School of General Education,Guangdong Innovative Technical College,Dongguan 523960,China;Biology Group,Yunan Middle School,Yunfu 527500,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]云安中学生物组,广东云浮527500

出　　处：《广州大学学报（自然科学版）》2023年第1期45-50,共6页Journal of Guangzhou University:Natural Science Edition

基　　金：广东创新科技职业学院特色创新类重点资助项目(2022TSZD05)。

摘　　要：将概率犹豫模糊集中的隶属度与概率看作二维变量信息,在二维变量信息条件下研究概率犹豫模糊集多属性决策问题。首先,将概率犹豫模糊数书写形式改为点坐标形式,并在此形式下建立概率犹豫模糊元几何距离函数模型与离差程度系数模型;其次,属性的评价值为概率犹豫模糊元,在考虑其内部元素的离差程度与相互之间离差程度基础上,采用熵值法确定属性权重;再次,使用新定义的几何距离函数与离差程度系数函数计算由概率犹豫模糊元组成的属性值,得到属性的综合值,并利用Maclaurin对称平均算子对各方案属性的综合值进行集结,通过比较集结的方案属性综合值大小对各方案进行排序;最后用一个数值算例对本文方法进行验证分析,结果表明,该方法能够快速取得有效的排序结果。The membership degree and probability of probabilistic hesitant fuzzy sets are regarded as two-dimensional variable information.The multi-attribute decision making problem of probabilistic hesitant fuzzy sets is studied under the condition of two-dimensional variable information.Firstly,the writing form of the probabilistic hesitant fuzzy number is changed to the point coordinate form,and the geometric distance function model and the deviation degree coefficient model of the probabilistic hesitant fuzzy element are established in this form.Secondly,the evaluation value of the attribute is the probabilistic hesitant fuzzy element,and the entropy method is used to determine the weight of the attribute on the basis of considering the deviation degree of the internal elements in the probabilistic hesitant fuzzy element and the deviation degree of each element.Thirdly,the newly defined geometric distance function and deviation degree coefficient function are used to calculate the attribute values composed of probabilistic hesitant fuzzy elements,and the comprehensive value of the attribute is obtained.Maclaurin symmetric average operator is used to aggregate the comprehensive value of the attribute of each scheme,and the ranking of each scheme is conducted by comparing the comprehensive value of the aggregated scheme attribute.Finally,a numerical example is used to verify and analyze the proposed method,and the results show that the proposed method can quickly obtain effective sorting results.

关 键 词：概率犹豫模糊集 二维变量信息 熵值法 Maclaurin对称平均算子 排序 

分 类 号：O159[理学—数学]