1
Kastamonu University, Department of Mathematics, Kastamonu, Turkey
(hsn.dad@gmail.com)
2
Gaziantep University, Department of Mathematics, Gaziantep, Turkey
(olgun@gantep.edu.tr)
Abstract :
This article introduces the concept of neutrosophic soft n-topological spaces and their application in decision-making problems. Neutrosophic soft sets are used to define the open sets in these spaces, which allow for greater flexibility and uncertainty in the decision-making process. The concept of neutrosophic soft n-homeomorphism is also introduced, which describes the topological equivalence between two neutrosophic soft n-topological spaces. The article provides examples of how neutrosophic soft n-topological spaces can be used in decision-making problems, such as medical diagnosis and stock market analysis. The theory and applications presented in this article provide a valuable tool for dealing with uncertainty in decision-making problems.
Keywords :
Neutrosophic Soft n-Topological Space; Neutrosophic Soft Continuous Map; Neutrosophic Soft n-Homeomorphism; Neutrosophic Soft Filters; Decision-Making Problems
References :
[1] Smarandache, F. (2005). Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Int. J. Pure Appl. Math., 24, 287-297.
[2] Salma, A. A., & Alblowi, S. A. (2012). Neutrosophic set and neutrosophic topological spaces. IOSR J. Math., 3(4), 31-35.
[3] Maji, P. (2013). Neutrosophic soft set. Annals of Fuzzy Mathematics and Informatics, 5(1), 157-168.
[4] Taha, Y., Cigdem, G. A., & Sadi, B. (2019). A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces. Communications in Mathematics and Applications, 10(3), 481-493.
[5] Taha, Y. O., Cigdem, G. A., & Sadi, B. (2019). Separation axioms on neutrosophic soft topological spaces. Turk. J. Math, 43, 498-510.
[6] Dadas, H., & Demiralp, S. (2021). Introduction to neutrosophic soft bitopological spaces. International Journal of Neutrosophic Science, 14(2), 72-81.
[7] Dadas, H., & Demiralp, S. (2021). Neutrosophic Soft Tri-Topological Spaces. International Journal of Neutrosophic Science, 15(2), 77-88.
[8] Demiralp, S., & Dadas, H. (2022). Generalized Open Sets in Neutrosophic Soft Bitopological Spaces. Neutrosophic Sets and Systems, 48, 339-355.
| Style | # |
|---|---|
| MLA | Hasan DADAS , Necati Olgun. "Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems." Galoitica: Journal of Mathematical Structures and Applications, Vol. 9, No. 2, 2023 ,PP. 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |
| APA | Hasan DADAS , Necati Olgun. (2023). Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |
| Chicago | Hasan DADAS , Necati Olgun. "Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems." Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 no. 2 (2023): 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |
| Harvard | Hasan DADAS , Necati Olgun. (2023). Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 ( 2 ), 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |
| Vancouver | Hasan DADAS , Necati Olgun. Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 9 ( 2 ): 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |
| IEEE | Hasan DADAS, Necati Olgun, Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 9 , No. 2 , (2023) : 15-21 (Doi : https://doi.org/10.54216/GJMSA.090202) |