Some Approximation Spaces via Supra Topology

Fatma. A.  Toumi; Nadiy. A.  Altoumi

doi:10.54172/31ke1w34

Authors

Fatma. A. Toumi Department of Mathematics, Faculty of Education, Al-Zawia University, Libya Author
Nadiy. A. Altoumi Department of Mathematics, Faculty of Education, Al-Zawia University, Libya Author

DOI:

https://doi.org/10.54172/31ke1w34

Keywords:

Neighbourhood System, Rough Set Theory, Approximation Space, Supra Topology, Topological Space

Abstract

This paper introduces a new space based on a generalized neighbourhood system using the concept of a supra topology, termed a supra approximation space (briefly AS). We investigate several properties of AS and compare its advantages with those of the classical neighbourhood approximation space. Furthermore, we define and study a novel class of separation axioms using -open in a supra approximation space (AS). Finally, we explore some of their properties in the context of information system, particularly in approximation process of approximation and definability.

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