Research Article
Year 2020,
Volume: 3 Issue: 1, 21 - 27, 31.01.2020
Abstract
In this study, we present bipolar soft filters which are defined over an initial universe using a fixed parameter set. At the same time, the concepts
of bipolar soft filter subbase and bipolar soft filter base are given. In addition, we give examples in order to better understand the subject in our paper.
References
- A. Aygünoğlu, H. Aygün, Some notes on soft topological spaces, Neural Comput. Appl., Vol. 21, N. 1, pp. 113-119, (2012).
- N. Çağman, S. Karataş, S. Enginoğlu , Soft topology, Comput. Math. Appl., Vol. 62, pp. 351-358, (2011).
- S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., Vol. 62, pp. 4058-4067, (2011).
- F. Karaaslan and S. Karatas, A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, 1550054, (2015).
- P.K. Maji, R. Biswas, and A.R. Roy, Soft set theory, Computers and Mathematics with Applications, Vol. 45 N. 4-5, pp. 555-562, (2003).
- W.K. Min, A note on soft topological spaces, Comput. Math. Appl., Vol. 62, pp. 3524-3528, (2011).
- D. Molodtsov, Soft set theory first results, Comput. Math. Appl., Vol. 37, pp. 19-31, (1999).
- B. Pazar Varol, H. Aygün, On soft hausdorff spaces, Ann. Fuzzy Math. Inf., Vol. 5, N. 1, pp. 15-24, (2013).
- M. Shabir, M. Naz , On soft topological spaces, Comput. Math. Appl., 61, 1786-1799, (2011).
- M. Shabir and M. Naz, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- M. Shabir and A. Bakhtawar, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol. 39, N. 3, pp. 359-371, (2017).
- Ş. Yüksel, N. Tozlu, G.Z. Ergül, Soft Filter, Math Sci., Vol. 8, N. 119, (2014).
- İ. Zorlutuna, M. Akdağ, W.K. Min, S. Atmaca, Remarks On soft topological spaces, Ann. Fuzzy Math. Inf., Vol. 3, N. 2, pp. 171-185, (2012).
- Y.T. Öztürk, On Bipolar Soft Topological Space, Journal of New Theory, Vol. 20, pp. 64-75, (2018).
Year 2020,
Volume: 3 Issue: 1, 21 - 27, 31.01.2020
Abstract
References
- A. Aygünoğlu, H. Aygün, Some notes on soft topological spaces, Neural Comput. Appl., Vol. 21, N. 1, pp. 113-119, (2012).
- N. Çağman, S. Karataş, S. Enginoğlu , Soft topology, Comput. Math. Appl., Vol. 62, pp. 351-358, (2011).
- S. Hussain, B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., Vol. 62, pp. 4058-4067, (2011).
- F. Karaaslan and S. Karatas, A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, 1550054, (2015).
- P.K. Maji, R. Biswas, and A.R. Roy, Soft set theory, Computers and Mathematics with Applications, Vol. 45 N. 4-5, pp. 555-562, (2003).
- W.K. Min, A note on soft topological spaces, Comput. Math. Appl., Vol. 62, pp. 3524-3528, (2011).
- D. Molodtsov, Soft set theory first results, Comput. Math. Appl., Vol. 37, pp. 19-31, (1999).
- B. Pazar Varol, H. Aygün, On soft hausdorff spaces, Ann. Fuzzy Math. Inf., Vol. 5, N. 1, pp. 15-24, (2013).
- M. Shabir, M. Naz , On soft topological spaces, Comput. Math. Appl., 61, 1786-1799, (2011).
- M. Shabir and M. Naz, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- M. Shabir and A. Bakhtawar, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol. 39, N. 3, pp. 359-371, (2017).
- Ş. Yüksel, N. Tozlu, G.Z. Ergül, Soft Filter, Math Sci., Vol. 8, N. 119, (2014).
- İ. Zorlutuna, M. Akdağ, W.K. Min, S. Atmaca, Remarks On soft topological spaces, Ann. Fuzzy Math. Inf., Vol. 3, N. 2, pp. 171-185, (2012).
- Y.T. Öztürk, On Bipolar Soft Topological Space, Journal of New Theory, Vol. 20, pp. 64-75, (2018).
There are 14 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Publication Date | January 31, 2020 |
| Submission Date | January 24, 2020 |
| Acceptance Date | February 27, 2020 |
| Published in Issue | Year 2020 Volume: 3 Issue: 1 |
