DocumentCode
2341469
Title
Topological space properties of rough sets
Author
Liu, Wei-jiang
Author_Institution
Sch. of Information Sci. & Eng., Bohai Univ., Jinzhou, China
Volume
4
fYear
2004
fDate
26-29 Aug. 2004
Firstpage
2353
Abstract
The topological properties of the Pawlak rough sets model are discussed. The paper also points out that the map between the rough set model and the finite set can induce an equivalent relation on the finite set. If the map is regarded as a map between two topological spaces, then it is continuous. Furthermore, if the map is bijective, then it is simultaneously open and continuous, and the image and inverse image of the rough set are rough.
Keywords
rough set theory; rough sets model; topological space; topological space property; Cybernetics; Electronic mail; Information science; Machine learning; Rough sets; Set theory; Tellurium; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN
0-7803-8403-2
Type
conf
DOI
10.1109/ICMLC.2004.1382193
Filename
1382193
Link To Document