JACIII Vol.10 No.5 pp. 621-624
doi: 10.20965/jaciii.2006.p0621


Topological Structures of Rough Sets Induced by Equivalence Relations

Michiro Kondo* and Wieslaw A. Dudek**

*School of Information Environment, Tokyo Denki University, Inzai 270-1382, Japan

**Institute of Mathematics, Wroclaw University of Technology, Wroclaw 50-370, Poland

January 20, 2006
February 24, 2006
September 20, 2006
rough sets, topology
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.
Cite this article as:
M. Kondo and W. Dudek, “Topological Structures of Rough Sets Induced by Equivalence Relations,” J. Adv. Comput. Intell. Intell. Inform., Vol.10 No.5, pp. 621-624, 2006.
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Last updated on Apr. 05, 2024