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Dergiler / 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
Sayfa
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Yayın Tarihi
2025-02-28
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we propose a new topology called the cut topology.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, neighborhood, continuity, and homeomorphism are ana-lyzed with examples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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