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Journals / Hittite Journal of Science and Engineering / 2018 / Cilt: 5 - Sayı: 2

A New Perspective On Soft Topology

Mustafa Burç KANDEMİR
Pages
105–113
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

We give some results for relations between a topological space and a soft topological space that is defined on it.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we approach the concept of soft topology with a different perspective.
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Key Findings & Data:We define a soft topological space over given initial topological universe as a parameterization of subspaces of a topological space.
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Conclusion & Impact:We give some results for relations between a topological space and a soft topological space that is defined on it.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft set · Soft topological space · Hausdorffness

Abstract

In this paper, we approach the concept of soft topology with a different perspective. We define a soft topological space over given initial topological universe as a parameterization of subspaces of a topological space. In addition to this, we define some basic topological concepts such as Hausdorffness, compactness, connectedness for soft topological spaces and study their some properties. We give some results for relations between a topological space and a soft topological space that is defined on it.

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Cite This Article

KANDEMİR, M. B. (2022). A New Perspective On Soft Topology. Hittite Journal of Science and Engineering, Cilt: 5 - Sayı: 2, 105–113. https://ajindex.com/articles/538042

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References (11)

  1. Molodtsov, D. Soft set theory - first results. Comput. Math. Appl. 37 (1999) 19-31
  2. Maji, PK, Biswas, R, Roy, AR. Soft set theory. Comput. Math. Appl. 45 (2003) 555-562
  3. Ali, MI, Feng, F, Liu, X, Min, WK, Shabir, M. On some new operations in soft set theory. Comput. Math. Appl. 57 (2009) 1547-1553
  4. Babitha, KV, Sunil, JJ. Soft set relations and functions. Comput. Math. Appl. 60 (2010) 1840-1849
  5. Kim, YK, Min, WK. Full soft sets and full soft decision systems. J. Intell. Fuzzy Systems 26 (2) (2014) 925-933
  6. Min, WK. Similarity in soft set theory. Appl. Math. Lett. 25 (3) (2012) 310- 314
  7. Munkres, JR. Topology. 2nd, edition. Prentice Hall, Inc. 2000
  8. Yuksel, Ş. General topology. 5th, extended edition. Eğitim Kitabevi Yayınları, 2006 (In Turkish)
  9. Shabir, M, Naz, M. On soft topological spaces. Comput. Math. Appl. 61 (7) (2011) 1786-1799
  10. Aktaş, H, Çağman, N. Soft sets and soft groups. Inform. Sci. 177 (13) (2007) 2726-2735
  11. Acar, U., Koyuncu, F., Tanay, B. Soft sets and soft rings. Comput. Math. Appl. 59(11)(2010) 3458-3463.