一种应用软粗糙模糊集的多属性决策方法  

Method for multi-attribute decision making applying soft-rough fuzzy set

作　　者：付清[1] 张小红[2] 

机构地区：[1]宁波大学数学系,浙江宁波315211 [2]上海海事大学文理学院,上海201306

出　　处：《计算机工程与应用》2011年第30期39-43,共5页Computer Engineering and Applications

基　　金：国家自然科学基金No.60775038;宁波市自然科学基金(No.2009A610078)~~

摘　　要：将软粗糙模糊集应用于多属性决策问题,用软粗糙模糊集分析模糊知识表达系统,定义了软模糊决策系统、决策分类模糊软集依赖度、条件双射软集对决策分类模糊软集的重要性、软模糊决策系统的约简、软模糊决策系统的决策规则等概念,借助这些概念给出了一种基于软粗糙模糊集的多属性决策算法,通过实例分析说明了该算法的可行性。Soft-rough fuzzy set is applied to the problems of multi-attribute decision making.With soft-rough fuzzy set,fuzzy knowledge express system is analyzed,some concepts are proposed such as soft fuzzy decision system,decision classified fuzzy soft set dependent degree,and significance of condition bijective soft set with respect to decision classified fuzzy soft set,reduction of soft fuzzy decision system,decision rules in soft fuzzy decision system and so on.By these notions,an algorithm of decision making based on soft-rough fuzzy set is presented,and an example is given to show the feasibility of the method.

关 键 词：软粗糙模糊集 双射软集 分类模糊软集 软模糊决策系统 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]