【摘要】 广义近似空间是粗糙集理论中近似空间的推广,Kondo在广义近似空间中引入了一类特殊的拓扑.作者研究了这类拓扑若干性质,包括其拓扑基、分离性及这类拓扑空间上相关映射的性质,并且证明了任何广义近似空间都可以由这类拓扑诱导出来.这对于拓扑学本身以及粗糙集理论的发展都具有一定的意义.更多还原

【Abstract】 Generalized approximation spaces are a promotion of the approximation spaces.Kondo has given a special topology on Generalized approximation spaces.This paper studied some properties of this kind of topology Including the property of it’s base and seperability and some properties of related mapping which was defined in this kind of topologi cal spaces.Finally,it proved that every generalized approximation space can be produced by one of this kind of topologi cal spaces.The study will be meaningful for topology itself and the development of the rough sets theory.更多还原