Araştırma Makalesi
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On Bipolar Soft Topological Spaces

Yıl 2018, Sayı: 20, 64 - 75, 15.02.2018

Öz

In this present study, some properties of bipolar soft closed sets are introduced and the concept of closure, interior, basis and subspaces which are the building blocks of classical topology are defined on bipolar soft topological spaces. In addition, examples have been presented so that the subject can be better understood.

Kaynakça

  • [1] Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, (1986), 87-96.
  • [2] Bayramov S, Gunduz C., Soft locally compact spaces and soft paracompact spaces, J. Math. Sys. Sci., 3, (2013), 122-130.
  • [3] Cagman N., Karatas S., Engino¸glu S., Soft topology, Comput. Math. Appl., (2011), 351-358.
  • [4] Karaaslan F. and Karatas S., A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, (2015), 1550054.
  • [5] Maji P. K., Biswas R., Roy A. R., Soft set theory, Comput. Math. Appl., 45, (2003), 555-562.
  • [6] Molodtsov D., Soft Set Theory-First Results, Comput. Math. Appl., 37, (1999), 19-31.
  • [7] Senel G. and Cagman N., Soft topological subspaces, Annals of Fuzzy Mathematics and Informatics, 10.4, (2015), 525-535.
  • [8] Shabir M. and Bakhtawar A., Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., 39(3), (2017), 359-371.
  • [9] Shabir M. and Naz M., On bipolar soft sets, Retrieved from https://arxiv.org/abs/1303.1344, (2013).
  • [10] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., 61, (2011), 1786-1799.
  • [11] Zadeh L. A., Fuzzy Sets, Inform. Control, 8, (1965), 338-353.
Yıl 2018, Sayı: 20, 64 - 75, 15.02.2018

Öz

Kaynakça

  • [1] Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, (1986), 87-96.
  • [2] Bayramov S, Gunduz C., Soft locally compact spaces and soft paracompact spaces, J. Math. Sys. Sci., 3, (2013), 122-130.
  • [3] Cagman N., Karatas S., Engino¸glu S., Soft topology, Comput. Math. Appl., (2011), 351-358.
  • [4] Karaaslan F. and Karatas S., A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, (2015), 1550054.
  • [5] Maji P. K., Biswas R., Roy A. R., Soft set theory, Comput. Math. Appl., 45, (2003), 555-562.
  • [6] Molodtsov D., Soft Set Theory-First Results, Comput. Math. Appl., 37, (1999), 19-31.
  • [7] Senel G. and Cagman N., Soft topological subspaces, Annals of Fuzzy Mathematics and Informatics, 10.4, (2015), 525-535.
  • [8] Shabir M. and Bakhtawar A., Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., 39(3), (2017), 359-371.
  • [9] Shabir M. and Naz M., On bipolar soft sets, Retrieved from https://arxiv.org/abs/1303.1344, (2013).
  • [10] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., 61, (2011), 1786-1799.
  • [11] Zadeh L. A., Fuzzy Sets, Inform. Control, 8, (1965), 338-353.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Taha Yasin Ozturk

Yayımlanma Tarihi 15 Şubat 2018
Gönderilme Tarihi 28 Aralık 2017
Yayımlandığı Sayı Yıl 2018 Sayı: 20

Kaynak Göster

APA Ozturk, T. Y. (2018). On Bipolar Soft Topological Spaces. Journal of New Theory(20), 64-75.
AMA Ozturk TY. On Bipolar Soft Topological Spaces. JNT. Ocak 2018;(20):64-75.
Chicago Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory, sy. 20 (Ocak 2018): 64-75.
EndNote Ozturk TY (01 Ocak 2018) On Bipolar Soft Topological Spaces. Journal of New Theory 20 64–75.
IEEE T. Y. Ozturk, “On Bipolar Soft Topological Spaces”, JNT, sy. 20, ss. 64–75, Ocak 2018.
ISNAD Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory 20 (Ocak 2018), 64-75.
JAMA Ozturk TY. On Bipolar Soft Topological Spaces. JNT. 2018;:64–75.
MLA Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory, sy. 20, 2018, ss. 64-75.
Vancouver Ozturk TY. On Bipolar Soft Topological Spaces. JNT. 2018(20):64-75.


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