Bir Topolojik Halkada Kaba Yaklaşım Operatörleri

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.

Anahtar Kelimeler:

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

Rough Approximation Operators in a Topological Ring

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,

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