New approach for basic rough set concepts

Authors:
A. A. Allam;M. Y. Bakeir;E. A. Abo-Tabl
Affiliations:
Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt;Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt;Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt
Venue:
RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part I
Year:
2005

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Abstract

The standard rough set theory has been introduced in 1982 [5]. In this paper we use a topological concepts to investigate a new definitions for the lower and upper approximation operators. This approach is a generalization for Pawlak approach and the generalizations in [2, 7, 10, 12, 13, 14, 15, 16]. Properties of the suggested concepts are obtained. Also comparison between our approach and previous approaches are given. In this case, we show that the generalized approximation space is a topological space for any reflexive relation.