4.5 Article

Rough set theory for topological spaces

Journal

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 40, Issue 1-2, Pages 35-43

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2004.11.007

Keywords

topological space; rough set; fuzzy set; membership function; knowledge representation and processing

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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. (c) 2005 Elsevier Inc. All rights reserved.

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