基于属性约简的分类及其应用  

Classification Based on Reduction of Attributes and Its Application

作　　者：陈东升[1] 吕红杰[1] 

机构地区：[1]郑州轻工业学院数学与信息科学系,河南郑州450002

出　　处：《数学的实践与认识》2008年第9期107-114,共8页Mathematics in Practice and Theory

基　　金：河南省科技厅基金资助项目(0413031920);河南省教育厅基金资助项目(04922022)

摘　　要：约简是粗糙集用于数据分析的重要方法和手段,也是粗糙集理论的核心内容之一.论域U上的等价关系可以确定U的划分,U上的不可区分关系是等价关系.利用不可区分关系定义信息系统的划分协调集及划分约简集,而且证明了划分约简集的判定定理,并将其应用于实际分类问题.Reduction is an important method of applying rough set to analyze datum, and is one of core contents of rough set theory. The partition of range U is defined by equivalence relations in range U. The indiscernibility relation in range U is equivalence relation. The partition consistent set and partition reduction set of information system is defined by the indiscernibility relations. The determination theorem of partition reduction set is proved, and we apply the theorem to practical classification problem.

关 键 词：属性约简 不可区分关系 信息系统 划分约简集 划分区分矩阵 

分 类 号：O159[理学—数学]