CAJ | 학술논문

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．
엄의근사공간시조조집이론중근사공간적추엄，Kondo재엄의근사공간중인입료일류특수적탁복．작자연구료저류탁복약간성질，포괄기탁복기、분리성급저류탁복공간상상관영사적성질，병차증명료임하엄의근사공간도가이유저류탁복유도출래．저대우탁복학본신이급조조집이론적발전도구유일정적의의．
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.