不一致直觉模糊决策信息系统的约简  

Relative Reductions in Inconsistent Intuitionistic Fuzzy Information Decision Tables

作　　者：杜文胜[1,2] 胡宝清[2] 赵彦[3] 

机构地区：[1]周口师范学院数学与信息科学系,河南周口466000 [2]武汉大学数学与统计学院,湖北武汉430072 [3]暨南大学信息科学技术学院数学系,广东广州510632

出　　处：《模糊系统与数学》2013年第3期169-175,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61179038;70771081)

摘　　要：近年来出现了许多用粗糙集理论处理各种信息系统的方法,但是对直觉模糊信息系统还没有做出相关的讨论。本文首先在不一致直觉模糊决策信息系统中定义了优势关系,然后引入基于此优势关系的分布约简、最大分布约简的概念,并通过可辨识矩阵及辨识函数得到求解这两种约简的具体方法。Many methods based on the rough set theory to deal with information systems have been proposed in recent years. However, intuitionistic fuzzy information systems have not been investigated yet. In this paper, dominance relations are firstly defined in inconsistent intuitionistic fuzzy information decision tables, and then the concepts of distribution reduction and maximum distribution reduction are respectively proposed. Practical approaches to compute both kinds of reductions are presented by introducing of discernibility matrix and discernibility function.

关 键 词：直觉模糊信息系统 优势关系 粗糙集 相对约简 

分 类 号：O159[理学—数学]