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On Bipolar Soft Topological Spaces

Year 2018, Issue: 20 , 64 - 75 , 15.02.2018
https://izlik.org/JA53LC79LF

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
https://izlik.org/JA53LC79LF

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

Submission Date December 28, 2017
Publication Date February 15, 2018
IZ https://izlik.org/JA53LC79LF
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. https://izlik.org/JA53LC79LF
AMA 1.Ozturk TY. On Bipolar Soft Topological Spaces. JNT. 2018;(20):64-75. https://izlik.org/JA53LC79LF
Chicago Ozturk, Taha Yasin. 2018. “On Bipolar Soft Topological Spaces”. Journal of New Theory, nos. 20: 64-75. https://izlik.org/JA53LC79LF.
EndNote Ozturk TY (January 1, 2018) On Bipolar Soft Topological Spaces. Journal of New Theory 20 64–75.
IEEE [1]T. Y. Ozturk, “On Bipolar Soft Topological Spaces”, JNT, no. 20, pp. 64–75, Jan. 2018, [Online]. Available: https://izlik.org/JA53LC79LF
ISNAD Ozturk, Taha Yasin. “On Bipolar Soft Topological Spaces”. Journal of New Theory. 20 (January 1, 2018): 64-75. https://izlik.org/JA53LC79LF.
JAMA 1.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, Jan. 2018, pp. 64-75, https://izlik.org/JA53LC79LF.
Vancouver 1.Taha Yasin Ozturk. On Bipolar Soft Topological Spaces. JNT [Internet]. 2018 Jan. 1;(20):64-75. Available from: https://izlik.org/JA53LC79LF

 

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