SavedAdd your journal

Journals / Hittite Journal of Science and Engineering / 2026 / Volume: 5 Issue: 2

A New Perspective On Soft Topology

Mustafa Burç Kandemir(Muğla Sıtkı Koçman University, Department of Mathematics, Muğla, Turkey.)
Pages
—
Publication Date
2018-06-29
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

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.
📊
Key Findings & Data:We define a soft topological space over given initial topological universe as a parameterization of subspaces of a topological space.
💡
Conclusion & Impact:We give some results for relations between a topological space and a soft topological space that is defined on it.
🔬Design: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.

🔖

Cite This Article

Kandemir, M. B. (2018). A New Perspective On Soft Topology. Hittite Journal of Science and Engineering, Volume: 5 Issue: 2. https://doi.org/10.17350/HJSE19030000080

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

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.