Topological Structures of Rough Sets Induced by Equivalence Relations
Michiro Kondo, Wiesław A. Dudek · Journal of Advanced Computational Intelligence and Intelligent Informatics · 2006
In this paper we consider some fundamental topological properties of rough sets induced by equivalence relations and show that 1. Every approximation space is retrieval. 2. For every approximation space X=(X,θ), X is strongly connected if and only if θ=X×X. Moreover we consider topological properties of generalized rough sets.