基于模糊软集的群决策方法研究  

Research on group decision making based on fuzzy soft set

作　　者：冯琴荣[1] 王芬芬[1] 

机构地区：[1]山西师范大学数学与计算机科学学院,山西临汾041004

出　　处：《西北大学学报（自然科学版）》2016年第4期475-480,共6页Journal of Northwest University（Natural Science Edition）

基　　金：山西省自然科学基金资助项目(2012011011-1)

摘　　要：针对基于模糊软集的群决策问题,将模糊软集相似度度量的概念引入到专家权重未知的群决策问题中来,分析了单个专家模糊软集与标准模糊软集之间的关系及单个专家模糊软集与其他专家模糊软集之间的关系,进而提出了一种构造专家权重的方法。最后利用模糊软矩阵和专家权重设计了一个基于模糊软集的群决策算法,实例表明该算法是合理的。The aim of this paper is to focus on the problem of group decision making based on fuzzy soft sets. Firstly, the concept of similarity measure for fuzzy soft sets is introduced to solve the problem of group decision making under the condition of expert weight unknown. Secondly, the relationship between the single expert fuzzy soft set and standard fuzzy soft set as well as the relationship between the single expert fuzzy soft set and the other expert fuzzy soft set are analyzed, and a method of constructing expert weight is proposed. Finally, the group decision making algorithm is presented using fuzzy soft matrix and the expert weight, an example is provided to show that the algorithm is reasonable.

关 键 词：模糊软集 相似度度量 群决策 

分 类 号：O29[理学—应用数学] N94[理学—数学]