摘要
讨论了粗糙近似算子的性质.基于粗糙集理论,给出了经典集在Pawlak近似空间下的粗糙度不等式取等号的两个等价的充分条件;同时给出了模糊集在Pawlak近似空间下粗糙度不等式取等号的充分条件以及粗糙模糊集水平截集的一些性质.
Three parts make up of this paper. The first one is what kind of sufficient conditions can make the rough degree inequality in classical sets into equality, and two equivalent conditions are presented. The second one part is about a sufficient condition that can make the rough degree inequality into equality in fuzzy sets. The third one is to present and discuss some properties of cut of rough-fuzzy sets.
出处
《江南大学学报（自然科学版）》
CAS
2007年第1期115-118,共4页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(60474022)
关键词
粗糙集
模糊集
粗糙度
上近似
下近似
近似空间
rough set
fuzzy set
rough degree
upper approximation
lower approximation
approximation space
