Applications of Operations on Fuzzy Minimal Generalized Open Sets

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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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-10-13
DOI
https://doi.org/10.47000/tjmcs.1837348
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Applications of Operations on Fuzzy Minimal Generalized Open Sets

Cenap Özel, A. Swaminathan, Margret Sheela M
Turkish Journal of Mathematics and Computer Science
Fuzzy and Soft Set Theory
article

Applications of Operations on Fuzzy Minimal Generalized Open Sets

Cenap Özel, A. Swaminathan, Margret Sheela M
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(3)
King Abdulaziz University (SA), Annamalai University (IN)
Openalex Percentile: Top 10%
Fuzzy and Soft Set Theory
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