Title :
Topological space properties of rough sets
Author_Institution :
Sch. of Information Sci. & Eng., Bohai Univ., Jinzhou, China
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;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1382193
