BibTex RIS Kaynak Göster
Yıl 2018, , 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

Öz

Kaynakça

  • 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

Yıl 2018, , 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

Öz

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.

Kaynakça

  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mustafa Burç Kandemir Bu kişi benim

Yayımlanma Tarihi 29 Haziran 2018
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

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

Hittite Journal of Science and Engineering Creative Commons Atıf-GayriTicari 4.0 Uluslararası Lisansı (CC BY NC) ile lisanslanmıştır.