Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Volume: 48 Issue: 6

On soft topological categories

Gülay Oğuz(INONU UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)0000-0003-4302-8401
M. Habil Gürsoy(INONU UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)0000-0003-3576-0731
İlhan İçen(INONU UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)
Pages
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Publication Date
2019-12-08
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we present some examples about it.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:Some examples of the soft topological categories are given.
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Conclusion & Impact:Finally, we present some examples about it.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

Oğuz, G., Gürsoy, M. H., İçen, İ. (2019). On soft topological categories. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 6. https://ajindex.com/articles/1402711

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References (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.