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Journals / Sigma Journal of Engineering and Natural Sciences / 2025 / Volume: 43 Issue: 1

Cut topology generated by generalized triangular fuzzy numbers

Yeşim Yanardağ(Kilis Science and Art Center, Kilis, 79000, Türkiye)0000-0002-5333-8270
Memet Kule(Department of Mathematics and Science Education, Kilis 7 Aralık University, Kilis, 79000, Türkiye)0000-0002-2869-2358
Pages
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Publication Date
2025-02-28
DOI
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AI Summary & Key Takeaways

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

Finally, neighborhood, continuity, and homeomorphism are ana-lyzed with examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we propose a new topology called the cut topology.
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Key Findings & Data:Then, we generate the cut topology by the synthetic base and give subspace cut topology on a subset of any set.
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Conclusion & Impact:Finally, neighborhood, continuity, and homeomorphism are ana-lyzed with examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cut Topology · Fuzzy Set · Generalized Triangular Fuzzy Number

Abstract

In this study, we propose a new topology called the cut topology. We first develop a synthetic base by using the 𝛼 cut family of the generalized triangular fuzzy number. Then, we generate the cut topology by the synthetic base and give subspace cut topology on a subset of any set. Moreover, the fundamental concepts such as interior, closure, and limit points of a set in the cut topology are discussed. Finally, neighborhood, continuity, and homeomorphism are ana-lyzed with examples.

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Cite This Article

Yanardağ, Y., Kule, M. (2025). Cut topology generated by generalized triangular fuzzy numbers. Sigma Journal of Engineering and Natural Sciences, Volume: 43 Issue: 1. https://ajindex.com/articles/1632150

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