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Gama and beta approximations via general ordered topological spaces

2015/09/30 by M. Abo-Elhamayel, Abo-Elhamayel, M.
Computer Science · Decision Sciences · #54A99 #Advanced Algebra and Logic #FOS: Mathematics #General Mathematics (math.GM) #Multi-Criteria Decision Making #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.1510.01264

openalex publication_date 2015/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the concepts of gamma and beta approximations via general ordered topological approximation spaces. Also, increasing (decreasing) gamma and beta 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.

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