Open AccessGeneralized rough sets based on neighborhood systems and topological spaces
Author(s) -
R. Mareay
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2016.02.002
Subject(s) - mathematics , rough set , topological space , relation (database) , dual (grammatical number) , binary number , core (optical fiber) , topology (electrical circuits) , binary relation , pure mathematics , discrete mathematics , combinatorics , computer science , data mining , art , telecommunications , literature , arithmetic
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 approximation 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