Araştırma Makalesi
Yıl 2020,
, 21 - 27, 31.01.2020
Öz
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.
Anahtar Kelimeler
Soft topological space Bipolar soft topological space Bipolar soft filter
Kaynakça
- 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).
Yıl 2020,
, 21 - 27, 31.01.2020
Öz
Kaynakça
- 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).
Toplam 14 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Ocak 2020 |
| Gönderilme Tarihi | 24 Ocak 2020 |
| Kabul Tarihi | 27 Şubat 2020 |
| Yayımlandığı Sayı | Yıl 2020 |