Volume 13 , Issue 2 , PP: 87-94, 2021 | Cite this article as | XML | PDF | Full Length Article
Naime Demirtas 1 * , Abdullah Demirtas 2
Doi: https://doi.org/10.54216/IJNS.130201
In this paper, the concept of neutrosophic soft filter (NSF) and its basic properties are introduced. Later, we set up a neutrosophic soft topology with the help of a NSF. We also give the notions of the greatest lower bound and the least upper bound of the family of neutrosophic soft filters (NSFs), NSF subbase, NSF base andexplore some basic properties of them.
Neutrosophic soft set, neutrosophic soft topological space, neutrosophic soft filter
[1] Al-Tahan, M. and Davvaz, B., "Neutrosophic 
-Ideals (-Subalgebras) of Subtraction Algebra", International Journal of Neutrosophic Science, Vol 3, pp44-53, 2020.
[2] Atanassov, K., "Intuitionistic fuzzy sets", Fuzzy Sets Syst., Vol 20, pp87-96, 1986.
[3] Bera, T. and Mahapatra, N.K., "Introduction to neutrosophic soft topological space", Opsearch, Vol 54, pp841-867, 2017.
[4] Bera, T. and Mahapatra, N.K., "An Approach to Solve the Linear Programming Problem Using Single Valued Trapezoidal Neutrosophic Number", International Journal of Neutrosophic Science, Vol 3, pp54-66, 2020.
[5] Deli, I. and Broumi, S., "Neutrosophic soft relations and some properties", Ann. of Fuzzy Math. Inform., Vol 9, pp169-182, 2015.
[6] Deli, I. and Broumi, S., "Neutrosophic Soft Matrices and NSM-decision Making", Journal of Intelligent and Fuzzy Systems, Vol 28, pp2233–2241, 2015.
[7] Deli, I., “Interval-valued neutrosophic soft sets and its decision making", International Journal of Machine Learning and Cybernetics, Vol 8, pp665–676, 2017.
[8] Deli, I., Eraslan, S. and Çağman, N., "ivnpiv-Neutrosophic soft sets and their decision making based on similarity measure", Neural Computing and Applications, Vol 29, pp187–203, 2018.
[9] Deli, I., "npn-Soft Sets Theory and Applications", Annals of Fuzzy Mathematics and Informatics, Vol 10, pp847–862, 2015.
[10] Gündüz Aras, Ç., Öztürk, T.Y. and Bayramov, S., "Separation axioms on neutrosophic soft topolological spaces", Turk. J. M
