Title :
Some Topological Properties of Rough Approximation Spaces
Author :
Liu, Wei-jiang ; Bai, Lei ; Jing, Quan
Author_Institution :
Post Doctoral Station for Comput. Sci. & Technol., Southeast Univ., Nanjing
Abstract :
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
Keywords :
rough set theory; topology; binary relation; rough approximation spaces; rough set theory; topological properties; Artificial intelligence; Computer science; Cybernetics; Information science; Machine learning; Rough sets; Set theory; Space stations; Space technology; Topology; Uncertainty; Rough sets; binary relation; continuous map; topological space;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258678
