Generalized rough sets based on neighborhood systems and topological spaces | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 4, 2016, Page 603-608 PDF (371.3 K) | ||||
DOI: 10.1016/j.joems.2016.02.002 | ||||
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Author | ||||
R. Mareay | ||||
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt | ||||
Abstract | ||||
Rough sets theory is an important method for dealing with uncertainty, fuzziness and undefined objects. In this paper, we introduce a new approach for generalized rough sets based on the neighborhood systems induced by an arbitrary binary relation. Four pairs of the dual approxima- tion operators are generated from the core of neighborhood systems. Relationship among different approximation operators are presented. We generate different topological spaces by using the core of these neighborhood systems. Relationship among different generated topologies are discussed | ||||
Keywords | ||||
Rough sets; Neighborhood systems; Core; Topology | ||||
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