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.
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).
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).
Demirtaş, N., & Dalkılıç, O. (2021). BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY. Journal of Universal Mathematics, 4(2), 259-270. https://doi.org/10.33773/jum.886932
AMA
Demirtaş N, Dalkılıç O. BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY. JUM. July 2021;4(2):259-270. doi:10.33773/jum.886932
Chicago
Demirtaş, Naime, and Orhan Dalkılıç. “BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY”. Journal of Universal Mathematics 4, no. 2 (July 2021): 259-70. https://doi.org/10.33773/jum.886932.
EndNote
Demirtaş N, Dalkılıç O (July 1, 2021) BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY. Journal of Universal Mathematics 4 2 259–270.
IEEE
N. Demirtaş and O. Dalkılıç, “BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY”, JUM, vol. 4, no. 2, pp. 259–270, 2021, doi: 10.33773/jum.886932.
ISNAD
Demirtaş, Naime - Dalkılıç, Orhan. “BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY”. Journal of Universal Mathematics 4/2 (July 2021), 259-270. https://doi.org/10.33773/jum.886932.
JAMA
Demirtaş N, Dalkılıç O. BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY. JUM. 2021;4:259–270.
MLA
Demirtaş, Naime and Orhan Dalkılıç. “BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY”. Journal of Universal Mathematics, vol. 4, no. 2, 2021, pp. 259-70, doi:10.33773/jum.886932.
Vancouver
Demirtaş N, Dalkılıç O. BIPOLAR SOFT ORDERED TOPOLOGY AND A NEW DEFINITION FOR BIPOLAR SOFT TOPOLOGY. JUM. 2021;4(2):259-70.