基于优势关系下不协调目标信息系统的分布约简  

Distribution Reduction in Inconsistent Information Systems Based on Dominance Relations

作　　者：徐伟华[1] 张文修[1] 

机构地区：[1]西安交通大学理学院信息与系统科学研究所,陕西西安710049

出　　处：《模糊系统与数学》2007年第4期124-131,共8页Fuzzy Systems and Mathematics

基　　金：国家"九七三"计划资助项目(2002CB31200)

摘　　要：在基于优势关系下的不协调目标信息系统中引入了分布约简和最大分布约简的概念,并讨论了二者之间的关系,而且得到了分布和最大分布约简的判定定理以及辨识矩阵,建立了不协调目标信息系统的分布和最大分布约简的具体方法,同时通过实例验证了该方法的有效性,从而进一步丰富了粗糙集理论。Knowledge reduction is one of the most important problems in rough set theory. However, most of information systems are based on dominance relations because of various factors. To acquire brief decision rules from inconsistent systems based on dominance relations, knowledge reductions are needed. The main aim of this paper is to study the problem. The concepts of distribution reduction and maximum distribution reduction are introduced in information systems based dominance relations. And the relationships among them are discussed. The judgment theorem and discernable matrix are obtained, from which we can provide the approach to those reductions in inconsistent systems based on dominance relations. Finally, an example illustrates the validity of this method.

关 键 词：粗糙集 信息系统 分布约简 最大分布约简 辨识矩阵 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]