CS(K)上的S-粗集特征  

The characteristic of S-rough sets on CS(K)

作　　者：张春英[1] 薛佩军[2] 刘保相[1] 

机构地区：[1]河北理工大学理学院,河北唐山063009 [2]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2006年第2期18-23,共6页Journal of Shandong University(Natural Science)

摘　　要：对CS(K)(概念格)上的概念结点进行等价类划分,分析了概念格的粗集特征和S-粗集特征,给出了概念格上粗集和S-粗集的定义及其相应定理,找出概念格与粗集、S-粗集之间的关系,并通过实例说明了CS(K)上的S-粗集特征.According to the equivalence class, the concept nodes of CS（K） （Concept Lattice） are partitioned. The characteristics of rough sets and S-rough sets are analyzed. The definitions of rough sets and S-rough sets on CS（K） are given and the related theorem is presented. The relation between the concept lattice and S-rough sets is found. At last, the characteristics of S-rough sets are illnstrated with an example.

关 键 词：S-粗集 概念格 f-扩张 f-萎缩 

分 类 号：O159[理学—数学]