A generalization of rough sets in topological ordered spaces

A. Kandil, O. Tantawy, S. A. El-Sheikh, M. Hosny

Abstract


This paper concerns with construct a new rough set structure for an ideal ordered topological spaces. Properties of lower and upper approximation are extended to an ideal order topological approximation spaces. The main aim of the rough set is reducing the boundary region by increasing the lower approximation and decreasing the upper approximation. So, in this paper different new methods are proposed to reduce the boundary region. The properties of these methods are obtained. Comparisons between the current approximations and the previous approximations are introduced.

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How to Cite this Article:

A. Kandil, O. Tantawy, S. A. El-Sheikh, M. Hosny, A generalization of rough sets in topological ordered spaces, Journal of Mathematical and Computational Science, Vol 4, No 2 (2014), 278-297

Copyright © 2014 A. Kandil, O. Tantawy, S. A. El-Sheikh, M. Hosny. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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