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Year 2018, Volume: 5 Issue: 2, 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

Abstract

References

  • 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.

A New Perspective On Soft Topology

Year 2018, Volume: 5 Issue: 2, 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

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.

References

  • 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.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Mustafa Burç Kandemir This is me

Publication Date June 29, 2018
Published in Issue Year 2018 Volume: 5 Issue: 2

Cite

Vancouver Kandemir MB. A New Perspective On Soft Topology. Hittite J Sci Eng. 2018;5(2):105-13.

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