γ and β Approximations via General Ordered Topological Spaces - Applied Mathematics

AM > Vol.7 No.14, August 2016

γ and β Approximations via General Ordered Topological Spaces ()

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Download as PDF (Size: 454KB) PP. 1580-1588

DOI: 10.4236/am.2016.714136 1,499 Downloads 2,156 Views

Author(s)

Mohamed Abo-Elhamayel

Affiliation(s)

Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt.

ABSTRACT

In this paper, we introduce the concepts of g and b approximations via general ordered topological approximation spaces. Also, increasing (decreasing) g, b boundary, positive and negative regions are given in general ordered topological approximation spaces (GOTAS, for short). Some important properties of them were investigated. From this study, we can say that studying any properties of rough set concepts via GOTAS is a generalization of Pawlak approximation spaces and general approximation spaces.

KEYWORDS

Rough Sets, Approximations, Ordered Topological Spaces

Share and Cite:

Abo-Elhamayel, M. (2016) γ and β Approximations via General Ordered Topological Spaces. Applied Mathematics, 7, 1580-1588. doi: 10.4236/am.2016.714136.

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