Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt
10.1016/j.joems.2016.02.002
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
Mareay, R. (2016). Generalized rough sets based on neighborhood systems and topological spaces. Journal of the Egyptian Mathematical Society, 24(4), 603-608. doi: 10.1016/j.joems.2016.02.002
MLA
R. Mareay. "Generalized rough sets based on neighborhood systems and topological spaces", Journal of the Egyptian Mathematical Society, 24, 4, 2016, 603-608. doi: 10.1016/j.joems.2016.02.002
HARVARD
Mareay, R. (2016). 'Generalized rough sets based on neighborhood systems and topological spaces', Journal of the Egyptian Mathematical Society, 24(4), pp. 603-608. doi: 10.1016/j.joems.2016.02.002
VANCOUVER
Mareay, R. Generalized rough sets based on neighborhood systems and topological spaces. Journal of the Egyptian Mathematical Society, 2016; 24(4): 603-608. doi: 10.1016/j.joems.2016.02.002
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