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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 13 Sayı: 1

Rough Approximation Operators in a Topological Ring

Gülay Oğuz(SİİRT ÜNİVERSİTESİ)0000-0003-4302-8401
Pages
144–151
Publication Date
2020-03-20
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After that, the notion of topological rough ring is described and some related properties are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:Moreover, the definitions of lower topological rough subring and upper topological rough subring are presented.
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Conclusion & Impact:After that, the notion of topological rough ring is described and some related properties are studied.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kaba küme · kaba yaklaşımlar · kaba halka

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.

Özet

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.

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Cite This Article

Oğuz, G. (2020). Rough Approximation Operators in a Topological Ring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 Sayı: 1, 144–151. https://doi.org/10.18185/erzifbed.644343

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