Araştırma Makalesi
Yıl 2021,
Cilt: 4 Sayı: 2, 259 - 270, 31.07.2021
Öz
In our study, we gave a new definition for bipolar soft topology and we were able to examine the concept of bipolar soft ordered topology using the base concept we defined on this new bipolar soft topology. We also define the concept of bipolar soft set relation by defining an R relation on a bipolar soft set. Thus, we have defined the concept of bipolar soft interval and presented the bipolar soft ordered topology structure using these intervals in our study. Then, we expressed some applications of bipolar soft order topology.
Anahtar Kelimeler
bipolar soft ordered set bipolar soft topology bipolar soft ordered topology
Kaynakça
- Maji. P. K, Biswas. R, Roy. A. R, Soft set theory, Computers and Mathematics with Applications, Vol.45 No.4-5, pp.555-562, (2003).
- Molodtsov. D, Soft set theory first results, Comput. Math. Appl., Vol.37, No.19-31, (1999).
- Shabir. M, Naz. M, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- Babitha. K. V, Sunil. J. J, Soft Set Relations and Functions, Comput. Math. Appl., Vol.60, pp.1840-1849, (2010).
- Çağman. N, Karataş. S, Enginoglu. S, Soft topology, Comput. Math. Appl., Vol.62, pp.351-258, (2011).
- Babitha. K. V, Sunil, J. J, Transitive Closures and Ordering on Soft Sets, Comput. Math. Appl., Vol.62, pp.2235-2239, (2011).
- Tanay. B, Yaylalı. G, New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., Vol.7, pp.89-97, (2014).
- Roy. S, Samanta. T. K, An Introduction of a Soft Topological Spaces Proceeding of UGC sponsored National seminar on Recent trends in Fuzzy set theory, Rough set theory and Soft set theory at Uluberia College on 23rd and 24th September, ISBN 978-81-922305-5-9, pp.9-12, (2011).
- Shabir. M, Naz. M, On bipolar soft sets, Retrieved from https://arxiv.org/abs/1303.1344, (2013).
- Shabir. M, Bakhtawar. A, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol.39, No.3, pp.359-371, (2017).
- Guan. X, Li. Y, Feng. F, A new order relation on fuzzy soft sets and its applications, Soft Compt., Vol.17, pp.63-70, (2013).
- Onyeozili. I. A, Gwary. T. M, A study the Fundamentals of Soft Set Theory, International of Sciences and Technology Research, Vol.3, No.4, pp.132-143, (2014).
- Sut. D. K, An Application of Fuzzy Soft Relation in Decision Making Problems, International Journal of Mathematics Trends and Technology, Vol.3, No.2, (2012).
- Babitha. K. V, Sunil. J. J, Soft Set Relations and Functions, Comput. Math. Appl., Vol.60, pp.1840-1849, (2010).
- Park. J. H, Kim. O. H, Kwun. Y. C, Some properties of equivalence soft set relations, Comput. Math. Appl., Vol.63, pp.1079-1088, (2012).
- Yang. H, Guo. Z, Kernels and Closures of Soft Set Relations, and Soft Set Relation Mappings, Comput. Math. Appl., Vol.61, pp.651-662, (2011).
- Tanay. B, Yaylalı. G, New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., Vol.7, pp.89-97, (2014).
- Shabir. M, Naz. M, On soft topological spaces, Comput. Math. Appl., Vol.61, pp.1786-1799, (2011).
- Çağman. N, Karataş. S, Enginoğlu. S, Soft topology, Comput. Math. Appl., Vol.62, pp.351-358, (2011).
- Aygünoğlu. A, Aygün. H, Some notes on soft topological spaces, Neural Comput. Appl., Vol.21, No.1, pp.113-119, (2012).
- Zorlutuna. I, Akdağ. M, Min. W. K, Atmaca. S, Remarks On soft topological spaces, Ann. Fuzzy Math. Inf., Vol.3, No.2, pp.171-185, (2012).
- Hussain. S, Ahmad. B, Some properties of soft topological spaces, Comput. Math. Appl., Vol.62, pp.4058-4067, (2011).
- Pazar Varol. B, Aygun. H, On soft hausdorf spaces, Ann. Fuzzy Math. Inf., Vol.5, No.1, pp.15-24, (2013).
- Min. W. K, A note on soft topological spaces, Comput. Math. Appl., Vol.62, pp.3524-3528, (2011).
- Shabir. M, Naz. M, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- Karaaslan. F, Karatas. S, A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, 1550054, (2015).
- Shabir. M, Bakhtawar. A, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol.39, No.3, pp.359-371, (2017).
- Öztürk. Y. T, On Bipolar Soft Topological Space, Journal of New Theory, Vol.20, pp.64-75, (2018).
Yıl 2021,
Cilt: 4 Sayı: 2, 259 - 270, 31.07.2021
Öz
Kaynakça
- Maji. P. K, Biswas. R, Roy. A. R, Soft set theory, Computers and Mathematics with Applications, Vol.45 No.4-5, pp.555-562, (2003).
- Molodtsov. D, Soft set theory first results, Comput. Math. Appl., Vol.37, No.19-31, (1999).
- Shabir. M, Naz. M, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- Babitha. K. V, Sunil. J. J, Soft Set Relations and Functions, Comput. Math. Appl., Vol.60, pp.1840-1849, (2010).
- Çağman. N, Karataş. S, Enginoglu. S, Soft topology, Comput. Math. Appl., Vol.62, pp.351-258, (2011).
- Babitha. K. V, Sunil, J. J, Transitive Closures and Ordering on Soft Sets, Comput. Math. Appl., Vol.62, pp.2235-2239, (2011).
- Tanay. B, Yaylalı. G, New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., Vol.7, pp.89-97, (2014).
- Roy. S, Samanta. T. K, An Introduction of a Soft Topological Spaces Proceeding of UGC sponsored National seminar on Recent trends in Fuzzy set theory, Rough set theory and Soft set theory at Uluberia College on 23rd and 24th September, ISBN 978-81-922305-5-9, pp.9-12, (2011).
- Shabir. M, Naz. M, On bipolar soft sets, Retrieved from https://arxiv.org/abs/1303.1344, (2013).
- Shabir. M, Bakhtawar. A, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol.39, No.3, pp.359-371, (2017).
- Guan. X, Li. Y, Feng. F, A new order relation on fuzzy soft sets and its applications, Soft Compt., Vol.17, pp.63-70, (2013).
- Onyeozili. I. A, Gwary. T. M, A study the Fundamentals of Soft Set Theory, International of Sciences and Technology Research, Vol.3, No.4, pp.132-143, (2014).
- Sut. D. K, An Application of Fuzzy Soft Relation in Decision Making Problems, International Journal of Mathematics Trends and Technology, Vol.3, No.2, (2012).
- Babitha. K. V, Sunil. J. J, Soft Set Relations and Functions, Comput. Math. Appl., Vol.60, pp.1840-1849, (2010).
- Park. J. H, Kim. O. H, Kwun. Y. C, Some properties of equivalence soft set relations, Comput. Math. Appl., Vol.63, pp.1079-1088, (2012).
- Yang. H, Guo. Z, Kernels and Closures of Soft Set Relations, and Soft Set Relation Mappings, Comput. Math. Appl., Vol.61, pp.651-662, (2011).
- Tanay. B, Yaylalı. G, New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., Vol.7, pp.89-97, (2014).
- Shabir. M, Naz. M, On soft topological spaces, Comput. Math. Appl., Vol.61, pp.1786-1799, (2011).
- Çağman. N, Karataş. S, Enginoğlu. S, Soft topology, Comput. Math. Appl., Vol.62, pp.351-358, (2011).
- Aygünoğlu. A, Aygün. H, Some notes on soft topological spaces, Neural Comput. Appl., Vol.21, No.1, pp.113-119, (2012).
- Zorlutuna. I, Akdağ. M, Min. W. K, Atmaca. S, Remarks On soft topological spaces, Ann. Fuzzy Math. Inf., Vol.3, No.2, pp.171-185, (2012).
- Hussain. S, Ahmad. B, Some properties of soft topological spaces, Comput. Math. Appl., Vol.62, pp.4058-4067, (2011).
- Pazar Varol. B, Aygun. H, On soft hausdorf spaces, Ann. Fuzzy Math. Inf., Vol.5, No.1, pp.15-24, (2013).
- Min. W. K, A note on soft topological spaces, Comput. Math. Appl., Vol.62, pp.3524-3528, (2011).
- Shabir. M, Naz. M, On Bipolar Soft Sets, arXiv: 1303.1344v1 [math.LO], (2013).
- Karaaslan. F, Karatas. S, A new approach to bipolar soft sets and its applications, Discrete Math. Algorithm. Appl., 07, 1550054, (2015).
- Shabir. M, Bakhtawar. A, Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces, Songklanakari J. Sci. Technol., Vol.39, No.3, pp.359-371, (2017).
- Öztürk. Y. T, On Bipolar Soft Topological Space, Journal of New Theory, Vol.20, pp.64-75, (2018).
Toplam 28 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Temmuz 2021 |
| Gönderilme Tarihi | 25 Şubat 2021 |
| Kabul Tarihi | 29 Temmuz 2021 |
| Yayımlandığı Sayı | Yıl 2021 Cilt: 4 Sayı: 2 |
