ROUGH SET THEORY FOR TOPOLOGICAL SPACES
WITH VARIABLE PRECISION
Abdel Fatah A. Azzam
Department of Mathematics
Faculty of Science and Human Studies
Salman Bin Abdul-Aziz University
Al-Aflaj, 710-11912, SAUDI ARABIA
and
Faculty of Science
Tanta University
Tanta, EGYPT
Abstract. The topology induced by binary relations with variable precision is used to generalize the basic rough set concepts. The suggested topological structure opens up the way for applying a rich amount of topological facts and methods in the press of granular computing, in particular, the notion of topological membership functions is introduced that integrates the concepts of rough and fuzzy sets.
AMS Subject classification: 06B30
Keywords and phrases: rough set, variable precision rough set model, α-lower approximation, topological space (TBS)


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DOI: 10.12732/ijam.v26i1.7

Volume: 26
Issue: 1
Year: 2013