Mareay, R. (2016). Generalized rough sets based on neighborhood systems and topological spaces. test, 24(4), 603-608. doi: 10.1016/j.joems.2016.02.002
R. Mareay. "Generalized rough sets based on neighborhood systems and topological spaces". test, 24, 4, 2016, 603-608. doi: 10.1016/j.joems.2016.02.002
Mareay, R. (2016). 'Generalized rough sets based on neighborhood systems and topological spaces', test, 24(4), pp. 603-608. doi: 10.1016/j.joems.2016.02.002
Mareay, R. Generalized rough sets based on neighborhood systems and topological spaces. test, 2016; 24(4): 603-608. doi: 10.1016/j.joems.2016.02.002

Generalized rough sets based on neighborhood systems and topological spaces

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Pages 603-608    PDF (371.3 K)
DOI: 10.1016/j.joems.2016.02.002
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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