变异粗集与它的过滤特性  

Variation rough set and its filter characters

作　　者：刘纪芹[1] 陈淑珍[2] 王红雨[2] 

机构地区：[1]山东大学数学与系统科学学院 [2]三明学院计算机科学系,福建三明365004

出　　处：《山东大学学报（工学版）》2006年第2期75-80,共6页Journal of Shandong University（Engineering Science）

基　　金：福建省自然科学基金(A0410026)

摘　　要：利用变异粗集的概念,提出了变异粗集粒度、过滤度的概念,讨论了变异粗集(X-(α),X-(α))与Z.Pawlak粗集(R-(X),R-(X))的粒度、过滤度的关系特征,给出了变异粗集粒度、过滤度的单调性定理.本文的讨论是对变异粗集理论的丰富与发展.By using concept of variation rough set, this paper presents the concepts of granulation degree and filter degree of variation rough set, the granulation characters between variation rough set and Z. Pawlak rough set are discussed . We also analyze the filter characters between variation rough set and Z. Pawlak rough set. In the end, we give the monotonicity theorems of granulation degree and filter degree about variation rough set.

关 键 词：变异粗集 变异粗集粒度 变异粗集过滤度 

分 类 号：O159[理学—数学]