SOME TOPOLOGICAL PROPERTIES OF ROUGH APPROXIMATION SPACES
General topology has been introduced into the realm of rough sets. In this paper, the topological properties of map on generalized rough approximation space on binary relation are discussed. We point out that a map between a generalized rough approximation space and a finite set can induce a binary relation on the finite set. If the binary relation is reflective and transitive, then the map is continuous which is regarded as a map on topological space. Furthermore, if the map is bijective, then it is simultaneously open and closed, and image and inverse image of a rough set are rough.
Rough sets topological space binary relation continuous map
WEI-JIANG LIU LEI BAI QUAN JING
Post Doctoral Station for Computer Science and Technology, Southeast University, Nanjing, Jiangsu, 2 School of Information Science and Engineering, Bohai University, Jinzhou 121003, China
国际会议
2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)
大连
英文
2305-2309
2006-08-13（万方平台首次上网日期，不代表论文的发表时间）