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Journals / Maltepe Journal of Mathematics / 2024 / Volume: 6 Issue: 2

ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION

Ahu Açıkgöz(BALIKESİR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0003-1468-8240
Ferhat Esenbel(BALIKESİR ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0000-0001-5581-3621
Pages
—
Publication Date
2024-11-08
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AI Summary & Key Takeaways

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

In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces.
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Key Findings & Data:Then, some types of functions and continuity are introduced using these new open sets.
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Conclusion & Impact:In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Neutrosophic semiopen set · Neutrosophic regular open set · Neutrosophic $\beta$-open set

Abstract

In this study, a new perspective in neutrosophic topology is brought to some open set definitions in general topology and previously interpreted in different ways in some other non-standard topological spaces. Then, some types of functions and continuity are introduced using these new open sets. In addition to these, the relations between the types of open sets, which we have brought different perspectives, with the continuity and function types that we reinterpreted in neutrosophic topology, are examined and these relations are clarified by giving examples and counterexamples.

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Cite This Article

Açıkgöz, A., Esenbel, F. (2024). ON A WEAK FORM OF SEMI-OPEN FUNCTION BY NEUTROSOPHICATION. Maltepe Journal of Mathematics, Volume: 6 Issue: 2. https://doi.org/10.47087/mjm.1482207

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