KaydedilenlerDerginizi ekleyin

Dergiler / 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
Sayfa
—
Yayın Tarihi
2026-10-13
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Within a generalized fuzzy topological space (GFTS), this study introduces fuzzy $\gamma_{\mu}$-open and closed sets.
📊
Temel Bulgular & Veri:The fuzzy minimal $\gamma_{\mu}$-open sets notion is introduced and its key elements are studied.
💡
Sonuç & Katkı:Sufficient conditions show that a fuzzy $\gamma_{\mu}$-locally finite GFTS meets specific criteria for pre-$T_{2}$ space.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. Chang, C.L., Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182–190.
  2. Chetty, G.P., Generalized fuzzy topology, Italian Journal of Pure and Applied Mathematics, 24(2008), 91–96.
  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.
  6. Zadeh, L.A., Fuzzy sets, Information and Control, 8(1965), 338–353.
  7. Csa´sza´r, A´.,Generalized open sets in generalized topologies, Acta Math. Hungar., 106(1-2)(2005), 351–357.