一种犹豫模糊集多属性群决策模型及应用  

A Multi-Attribute Group Decision Model with Hesitant Fuzzy Sets and Its Application

作　　者：朱国成[1] ZHU Guocheng(School of Humanities Education,Guangdong Innovative Technical College,Dongguan 523960,China)

机构地区：[1]广东创新科技职业学院人文教育学院,广东东莞523960

出　　处：《中央民族大学学报（自然科学版）》2023年第1期58-65,78,共9页Journal of Minzu University of China(Natural Sciences Edition)

基　　金：广东创新科技职业学院特色创新类重点项目(2022TSZD05)。

摘　　要：针对犹豫模糊集多属性群决策问题,从点坐标的角度出发设置了一类决策算法,更改了犹豫模糊集的表示方法,在此情形下建立了判断2个犹豫模糊元的大小比较规则与测度2个犹豫模糊元的距离模型,分别建立了计算决策专家客观权重、综合权重和属性的个体权重、整体权重以及综合权重的计算方法。在不同的决策专家权重类别与属性权重类别下,利用Maclaurin对称平均算子对犹豫模糊元进行集结以获取各方案的综合属性值进行排序。数值算例分析表明,利用点坐标建立的决策算法能够达到有效排序方案目的,同时,根据不同的决策专家权重类别与属性权重类别建立的9种决策模型得出的方案排序结果差异明显,说明决策专家权重类别与属性权重类别对决策结果的影响不容忽视,在具体的犹豫模糊集多属性群决策问题中,决策者应根据实际问题需要选择适当的决策模型,以更好地满足决策需求。In this paper,a class of decision making algorithm is proposed for multi-attribute group decision making with hesitant fuzzy sets.In this case,the size comparison rule of two hesitant fuzzy elements and the distance model of measuring two hesitant fuzzy elements are established.The methods of calculating the objective weight,the comprehensive weight and the individual weight,the whole weight and the comprehensive weight of decision making experts are established respectively.Under different decision expert weight categories and attribute weight categories,Maclaurin symmetric average operator is used to aggregate the hesitant fuzzy elements to obtain the comprehensive attribute values of each scheme and then rank them.Numerical example analysis shows that the point coordinate is used to establish the decision making algorithm can achieve effective sorting schemes and according to the different decision making expert weight categories and attributes weight categories based decision model of the ranking results of difference,the decision expert weight categories and attributes weight categories that nots allow to ignore the influence of the result of the decision,In the specific hesitant fuzzy set multi-attribute group decision making problem,the decision maker should choose the appropriate decision model according to the actual problem,so as to meet the decision demand better.

关 键 词：犹豫模糊集 群决策 点坐标 综合权重 Maclaurin对称平均算子 

分 类 号：O159[理学—数学]