一种应用软粗糙模糊集的多属性决策方法

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (30): 39-43.

一种应用软粗糙模糊集的多属性决策方法

付清1，张小红2

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

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-10-21 发布日期:2011-10-21

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

FU Qing1，ZHANG Xiaohong2

1.Department of Mathematics，Ningbo University，Ningbo，Zhejiang 315211，China
2.College of Art and Sciences，Shanghai Maritime University，Shanghai 201306，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-10-21 Published:2011-10-21

摘要/Abstract

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。

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

Abstract: 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.

Key words: soft-rough fuzzy set, bijective soft set, classified fuzzy soft set, soft fuzzy decision system

付清1，张小红2. 一种应用软粗糙模糊集的多属性决策方法[J]. 计算机工程与应用, 2011, 47(30): 39-43.

FU Qing1，ZHANG Xiaohong2. Method for multi-attribute decision making applying soft-rough fuzzy set[J]. Computer Engineering and Applications, 2011, 47(30): 39-43.