摘要
本文在Pawlak近似空间意义下研究粗糙集构成的拓扑空间。借助粗糙集的表示构造了粗糙拓扑空间,其中的开集为粗糙相等关系下的等价类;讨论了粗糙拓扑空间中的内部、闭包算子与近似空间中粗糙近似算子的关系,并给出了粗糙拓扑空间的拓扑基。
This paper is devoted to the discussion of topological structure of rough sets in Pawlak approximation space. The rough topological space is constructed based on the representation of rough sets. The relationship among interior operator, closure operator and rough approximation operators is investigated and the base of rough topological space is given.
出处
《计算机科学》
CSCD
北大核心
2007年第12期161-162,241,共3页
Computer Science
基金
国家自然科学基金资助项目(批准号:60474022)
关键词
粗糙集
拓扑
内部算子
闭包算子
Rough set, Topology, Interior operator, Closure operator