On topological properties of generalized rough sets
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In this note we consider topological properties of generalized rough sets. In any approximation space (X,R) of a generalized rough set we show that
1. If R is reflexive, then the set OR={A⊆X|R-(A)=A} defined by R-is a topology on X;
2. If R is reflexive and symmetric, then the topology OR has the following property (Clop) A : open A : closed
3. Conversely, for any topology O with (Clop), there is a reflexive and symmetric relation R on X such that O=OR.
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