DocumentCode
2893104
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
fYear
2006
fDate
13-16 Aug. 2006
Firstpage
2305
Lastpage
2309
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location
Dalian, China
Print_ISBN
1-4244-0061-9
Type
conf
DOI
10.1109/ICMLC.2006.258678
Filename
4028449
Link To Document