Rough Approximation Operators in a Topological Ring

Year 2020, Volume: 13 Issue: 1, 144 - 151, 20.03.2020

Gülay Oğuz

https://doi.org/10.18185/erzifbed.644343

Abstract

The goal of this article is to examine
the concept of topological ring from the perspective of the rough set theory
and to introduce the  approximation
operators in a topological ring with respect to its ideal. Moreover, the
definitions of lower topological rough subring and upper topological rough
subring are presented. After that, the notion of topological rough ring is
described and some related properties are studied.

Keywords

Rough set, rough approximations, rough ring, topological rough ring

Bir Topolojik Halkada Kaba Yaklaşım Operatörleri

Abstract

Bu çalışmanın amacı, topolojik halka kavramını kaba küme teorisindeki bakış
açısıyla inceleyerek  bir topolojik
halkada idealine göre alt ve üst yaklaşımları tanıtmaktır. Ayrıca, alt
topolojik kaba alt halka ve üst topolojik kaba alt halka tanımları sunulmuştur.
Sonrasında, topolojik kaba halka kavramı tanımlanarak ilgili bazı özellikler
incelenmiştir.

Keywords

Kaba küme, kaba yaklaşımlar, kaba halka, topolojik kaba halka.

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