纺织高校基础科学学报Issue(4):398-402,5.DOI:10.13338/j.issn.1006-8341.2015.04.003
近似空间的两种刻画
Two characterizations of approximation spaces
摘要
Abstract
To study the relationship between mathematical structures and rough set ,by using to‐pological and categorical theory ,it is proved that the category of interior space is isomorphic to the category of approximation space ,and the category of closure space is also isomorphic to the category of approximation space ,and two characterizations of approximation space are ob‐tained .Finally some categorical properties of closure spaces are discussed .关键词
近似空间/内部空间/闭包空间/笛卡尔闭的Key words
approximation space/interior space/closure space/cartesian closed分类
数理科学引用本文复制引用
杨小飞,樊苗..近似空间的两种刻画[J].纺织高校基础科学学报,2015,(4):398-402,5.基金项目
国家自然科学基金资助项目(11501435);陕西省教育厅科学研究计划项目(2013JK0568);西安工程大学博士科研启动基金项目 ()