Research Article

Applications of Operations on Fuzzy Minimal Generalized Open Sets

Volume: 18 Number: 3 October 13, 2026

Applications of Operations on Fuzzy Minimal Generalized Open Sets

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.

Keywords

References

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  3. Csa´sza´r, A´ .,Generalized open sets in generalized topologies, Acta Math. Hungar., 106(1-2)(2005), 351–357.
  4. Swaminathan, A., Somewhat fuzzy e-irresolute continuous mappings, The Journal of Fuzzy Mathematics, 27(2)(2019).
  5. Swaminathan, A., Sivaraja, S., Fuzzy compactness, fuzzy regularity via fuzzy maximal open and fuzzy minimal closed sets, J. Appl. Math. and Inform. 40(1-2)(2022), 185–190.
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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Publication Date

October 13, 2026

Submission Date

December 6, 2025

Acceptance Date

March 18, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

APA
A, S., M, M. S., & Özel, C. (2026). Applications of Operations on Fuzzy Minimal Generalized Open Sets. Turkish Journal of Mathematics and Computer Science, 18(3), 716-721. https://doi.org/10.47000/tjmcs.1837348
AMA
1.A S, M MS, Özel C. Applications of Operations on Fuzzy Minimal Generalized Open Sets. TJMCS. 2026;18(3):716-721. doi:10.47000/tjmcs.1837348
Chicago
A, Swaminathan, Margret Sheela M, and Cenap Özel. 2026. “Applications of Operations on Fuzzy Minimal Generalized Open Sets”. Turkish Journal of Mathematics and Computer Science 18 (3): 716-21. https://doi.org/10.47000/tjmcs.1837348.
EndNote
A S, M MS, Özel C (October 1, 2026) Applications of Operations on Fuzzy Minimal Generalized Open Sets. Turkish Journal of Mathematics and Computer Science 18 3 716–721.
IEEE
[1]S. A, M. S. M, and C. Özel, “Applications of Operations on Fuzzy Minimal Generalized Open Sets”, TJMCS, vol. 18, no. 3, pp. 716–721, Oct. 2026, doi: 10.47000/tjmcs.1837348.
ISNAD
A, Swaminathan - M, Margret Sheela - Özel, Cenap. “Applications of Operations on Fuzzy Minimal Generalized Open Sets”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 716-721. https://doi.org/10.47000/tjmcs.1837348.
JAMA
1.A S, M MS, Özel C. Applications of Operations on Fuzzy Minimal Generalized Open Sets. TJMCS. 2026;18:716–721.
MLA
A, Swaminathan, et al. “Applications of Operations on Fuzzy Minimal Generalized Open Sets”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 716-21, doi:10.47000/tjmcs.1837348.
Vancouver
1.Swaminathan A, Margret Sheela M, Cenap Özel. Applications of Operations on Fuzzy Minimal Generalized Open Sets. TJMCS. 2026 Oct. 1;18(3):716-21. doi:10.47000/tjmcs.1837348