KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

On soft topological categories

M. Habil Gürsoy
İlhan İçen
Gülay Oğuz
Sayfa
1675–1681
Yayın Tarihi
2022-10-18
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)

Finally, we present some examples about it.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce the notion of a soft topological category as a natural consequence of the existence of topological category and soft category.
📊
Temel Bulgular & Veri:Some examples of the soft topological categories are given.
💡
Sonuç & Katkı:Finally, we present some examples about it.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:soft set · soft topological group · category

Abstract

In this paper, we introduce the notion of a soft topological category as a natural consequence of the existence of topological category and soft category. Some examples of the soft topological categories are given. The properties of soft topological category are investigated and some important results are obtained. Also, the notion of topological functor is extended to the notion of soft topological functor. Finally, we present some examples about it.

🔖

Bu Makaleye Atıf Yap

Gürsoy, M. H., İçen, İ., Oğuz, G. (2022). On soft topological categories. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1675–1681. https://ajindex.com/articles/530545

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59, 3458–3463, 2010
  2. H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sci. 77 (13), 2726-2735, 2007
  3. A. Aygunoglu and A. Aygun, Some notes on soft topological spaces, Neural Comput. Appl. 22 (1), 113-119, 2012
  4. R. Brown and T. Porter, Category Theory: an abstract setting for analogy and comparison, in: What is Category Theory? Advanced Studies in Mathematics and Logic, Polimetrica Publisher, Italy, 257–274, 2006
  5. N. Cagman, S. Karatas and S. Enginoglu, Soft topology, Comput. Math. Appl. 62 (1), 351–358, 2011
  6. P.K. Maji, R. Biswas and A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (4-5), 555–562, 2003
  7. W.K. Min, A Note on Soft Topological Spaces, Comput. Math. Appl. 62, 3524–3528, 2011
  8. D.A. Molodtsov, Soft set theory-First results, Comput. Math. Appl. 37 (4-5), 19–31, 1999
  9. H. Nurusev, Topological grupoids, M.Sc. Thesis, Gazi University, Ankara, Turkey, 1995
  10. S. Oztunc, Some properties of soft categories, Int. J. Model. Optim. 6 (2),2016
  11. S.K. Sardar and S. Gupta, Soft category theory-an introduction, J. Hyperstruct. 2, 118–135, 2013
  12. M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl. 61 (7), 1786–1799, 2011
  13. T. Shah and S. Shaheen, Soft topological groups and rings, Ann. Fuzzy Math. Inform. 7 (5), 725–743, 2014
  14. O. Zahiri, Category of soft sets, An. Univ. Craiova Ser. Mat. Comput. Sci. 40 (2), 154-166, 2013.