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New approach for closure spaces by relations via ideals

S. E. Abbas|E. El-sanowsy|Hossam M. Khiamy
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제26권 제1호|pp. 59-81|DOI 10.30948/afmi.2023.26.1.59

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참고문헌

키워드

IdealRough setsApproximation spaceApproximation continuityApproximation connectednessSeparation axioms

초록

The main aim of this paper is to integrate the relationships among rough set theory and topology. We introduce the interior and closure operators with respect to an ideal defined on an approximation space, generating an ideal approximation space. Some topological notions such as the subspace, continuous functions, lower separation axioms, and connectedness in ideal approximation spaces are defined and studied. Some examples are given to confirm the implications.

Abstract

The main aim of this paper is to integrate the relationships among rough set theory and topology. We introduce the interior and closure operators with respect to an ideal defined on an approximation space, generating an ideal approximation space. Some topological notions such as the subspace, continuous functions, lower separation axioms, and connectedness in ideal approximation spaces are defined and studied. Some examples are given to confirm the implications.

참고문헌 (39)

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