Title: Comparison between rough set approximations based on different topologies

Authors: M.E. Abd El-Monsef; O.A. Embaby; M.K. El-Bably

Addresses: Faculty of Science, Department of Mathematics, Tanta University, Egypt ' Faculty of Science, Department of Mathematics, Tanta University, Egypt ' Faculty of Science, Department of Mathematics, Tanta University, Egypt

Abstract: Considering the generalised approximation space, this paper aims to introduce and study eight approaches for approximating rough sets. The approximations are based on different topologies. Comparisons between the accuracy of these types of approximations are superimposed. Some fundamental properties of the suggested approximation operators are obtained.

Keywords: rough sets; j-neighbourhood spaces; topology; generalised approximation space; approximation operators.

DOI: 10.1504/IJGCRSIS.2014.068032

International Journal of Granular Computing, Rough Sets and Intelligent Systems, 2014 Vol.3 No.4, pp.292 - 305

Received: 07 Oct 2013
Accepted: 23 Sep 2014

Published online: 10 Mar 2015 *

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