Research Article
BibTex RIS Cite

On Bipolar Soft Topological Spaces

Year 2018, Issue: 20, 64 - 75, 15.02.2018

Abstract

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.

References

  • [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.
Year 2018, Issue: 20, 64 - 75, 15.02.2018

Abstract

References

  • [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.
There are 11 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Taha Yasin Ozturk

Publication Date February 15, 2018
Submission Date December 28, 2017
Published in Issue Year 2018 Issue: 20

Cite

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. January 2018;(20):64-75.
Chicago Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory, no. 20 (January 2018): 64-75.
EndNote Ozturk TY (January 1, 2018) On Bipolar Soft Topological Spaces. Journal of New Theory 20 64–75.
IEEE T. Y. Ozturk, “On Bipolar Soft Topological Spaces”, JNT, no. 20, pp. 64–75, January 2018.
ISNAD Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory 20 (January 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, no. 20, 2018, pp. 64-75.
Vancouver Ozturk TY. On Bipolar Soft Topological Spaces. JNT. 2018(20):64-75.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).