Rough set theory for topological spaces

The topology induced by binary relations is used to generalize the basic rough set concepts. The suggested topological structure opens up the way for applying rich amount of topological facts and methods in the process of granular computing, in particular, the notion of topological membership functi...

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Bibliographic Details
Published in:International journal of approximate reasoning 2005-07, Vol.40 (1-2), p.35-43
Main Authors: Lashin, E.F., Kozae, A.M., Abo Khadra, A.A., Medhat, T.
Format: Article
Language:English
Subjects:
Fuzzy set
Knowledge representation and processing
Membership function
Rough set
Topological space
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Summary:The topology induced by binary relations is used to generalize the basic rough set concepts. The suggested topological structure opens up the way for applying rich amount of topological facts and methods in the process of granular computing, in particular, the notion of topological membership functions is introduced that integrates the concept of rough and fuzzy sets.
ISSN:0888-613X
1873-4731
DOI:10.1016/j.ijar.2004.11.007