Rough Approximation Operators in a Topological Ring

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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