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Journals / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 1

Some Notes on Soft Topological Concepts and an Application Method

MUSTAFA BURÇ KANDEMİR
Pages
105–116
DOI
—
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AI Summary & Key Takeaways

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

At the end of the article, we propose a decision-making method using soft topological concepts.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, using the concept of soft topology given in \cite{Mbk} i.e. with our new perspective of soft topology, we give some basic topological concepts such as open soft set, closed soft set, interior and closure of a soft set.
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Key Findings & Data:We then give the concept of soft continuity of a given function between soft topological spaces, and from here we also define the concept of soft homeomorphism and argue the all obtained results.
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Conclusion & Impact:At the end of the article, we propose a decision-making method using soft topological concepts.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft set · Soft topological space · continuity

Abstract

In this paper, using the concept of soft topology given in \cite{Mbk} i.e. with our new perspective of soft topology, we give some basic topological concepts such as open soft set, closed soft set, interior and closure of a soft set. We then give the concept of soft continuity of a given function between soft topological spaces, and from here we also define the concept of soft homeomorphism and argue the all obtained results. At the end of the article, we propose a decision-making method using soft topological concepts.

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Cite This Article

KANDEMİR, M. B. (2020). Some Notes on Soft Topological Concepts and an Application Method. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 1, 105–116. https://ajindex.com/articles/283453

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