Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 5

Soft topology in ideal topological spaces

Sayfa
—
Yayın Tarihi
2019-10-08
DOI
—
🏛️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)

Moreover, by using the operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$, we introduce another soft operator to obtain soft topology and show that $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, $(X, \tau, E)$ denotes a soft topological space and $\overline{\mathcal{I}}$ a soft ideal over $X$ with the same set of parameters $E$.
📊
Temel Bulgular & Veri:We define an operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$ called the $\theta$-local function of $(F, E)$ with respect to $\overline{\mathcal{I}}$ and $\tau$.
💡
Sonuç & Katkı:Moreover, by using the operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$, we introduce another soft operator to obtain soft topology and show that $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:soft topological · ideal · $\theta$-local function

Abstract

In this paper, $(X, \tau, E)$ denotes a soft topological space and $\overline{\mathcal{I}}$ a soft ideal over $X$ with the same set of parameters $E$. We define an operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$ called the $\theta$-local function of $(F, E)$ with respect to $\overline{\mathcal{I}}$ and $\tau$. Also, we investigate some properties of this operator. Moreover, by using the operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$, we introduce another soft operator to obtain soft topology and show that $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.

🔖

Bu Makaleye Atıf Yap

Al-omari, A. (2019). Soft topology in ideal topological spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 5. https://ajindex.com/articles/1402728

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57, 1547–1553, 2009.
  2. A. Aygünoğlu and H. Aygün, Some note on soft topolgical spaces, Neural Comput. Appl. 21 (1), 113–119, 2012.
  3. A. Kandil, O.A.E. Tantawy, S.A. El-Sheikh and A.M. Abd El-latif, Soft ideal theory, Soft local function and generated soft topological spaces, Appl. Math. Inf. Sci. 8 (4), 1595–1603, 2014.
  4. P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45, 555– 562, 2003.
  5. D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (4-5), 19–31, 1999.
  6. M. Shabir and M. Naz, On soft topolgical spaces, Comput. Math. Appl. 61, 1786–1799, 2011.
  7. I. Zorlutuna, M. Akdağ, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Ann. Fuzzy Math. Inform. 3, 171–185, 2012.