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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 3

Applications of Operations on Fuzzy Minimal Generalized Open Sets

Swaminathan A(Department of Mathematics,Government Arts College(Autonomous), Kumbakonam, Tamil Nadu-612 002, India.)0000-0001-5213-8456
Margret Sheela M(Annamalai University)0009-0000-1833-8702
Cenap Özel(King Abdulaziz University)0000-0001-8005-7039
Pages
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Publication Date
2026-10-13
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Sufficient conditions show that a fuzzy $\gamma_{\mu}$-locally finite GFTS meets specific criteria for pre-$T_{2}$ space.

📌 3 Key Takeaways

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Objective & Hypothesis:Within a generalized fuzzy topological space (GFTS), this study introduces fuzzy $\gamma_{\mu}$-open and closed sets.
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Key Findings & Data:The fuzzy minimal $\gamma_{\mu}$-open sets notion is introduced and its key elements are studied.
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Conclusion & Impact:Sufficient conditions show that a fuzzy $\gamma_{\mu}$-locally finite GFTS meets specific criteria for pre-$T_{2}$ space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy $\gamma_\mu$-open · fuzzy regular operation · fuzzy $\gamma_\mu$-locally finite.

Abstract

Within a generalized fuzzy topological space (GFTS), this study introduces fuzzy $\gamma_{\mu}$-open and closed sets. The fuzzy minimal $\gamma_{\mu}$-open sets notion is introduced and its key elements are studied. Sufficient conditions show that a fuzzy $\gamma_{\mu}$-locally finite GFTS meets specific criteria for pre-$T_{2}$ space.

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Cite This Article

A, S., M, M. S., Özel, C. (2026). Applications of Operations on Fuzzy Minimal Generalized Open Sets. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 3. https://doi.org/10.47000/tjmcs.1837348

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References (7)

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  7. Csa´sza´r, A´.,Generalized open sets in generalized topologies, Acta Math. Hungar., 106(1-2)(2005), 351–357.