Gama and beta approximations via general ordered topological spaces
M. Abo-Elhamayel
TL;DR
This paper introduces gamma and beta approximation concepts within general ordered topological spaces, extending rough set theory and exploring their properties and regions.
Contribution
It generalizes Pawlak approximation spaces by defining and analyzing gamma and beta approximations in general ordered topological approximation spaces.
Findings
Defined gamma and beta approximations in GOTAS
Explored properties of boundary and regions in GOTAS
Generalized classical rough set concepts
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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Taxonomy
TopicsRough Sets and Fuzzy Logic · Multi-Criteria Decision Making · Advanced Algebra and Logic