基于优势-等价关系下不协调目标信息系统的分布约简  

Distribution Reduction in Inconsistent Information System Based on Dominance and Equivalent Relations

作　　者：方连花[1] 李克典[1] 

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《模糊系统与数学》2013年第3期182-189,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10971185;10971186;71140004);福建省资助省属高校科研专项(JK2011031;2012D141;2013J01029)

摘　　要：引入优势-等价关系下不协调目标信息系统的概念,讨论了该系统的分布约简和最大分布约简之间的关系,得到了辨识矩阵及分布约简和最大分布约简的判定定理,并通过实例验证了该方法的有效性。In rough set theory, knowledge reduction is one of the most important issues. However, most of information systems are based on dominance relation and inconsistent because of various factors. The main objective of this paper is to give the concept of inconsistent information system based on dominance and equivalent relations, and then introduce the definitions of distribution reduction and maximum distribution reduction in this information system. With this understanding, the relationships among them are discussed. The discernable matrix and judgment theorems of distribution reduction and maximum distribution reduction are obtained, from which we can provide the approach to those reductions in inconsistent information system based on dominance and equivalent relations. Finally, an example is used to illustrate the validity of this method.

关 键 词：粗糙集 不协调信息系统 分布约简 最大分布约简 辨识矩阵 

分 类 号：O159[理学—数学]