Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems

Hasan; Necati

doi:https://doi.org/10.54216/GJMSA.090202

Full Length Article

Volume 9 • Issue 2 • PP: 15-21 • 2023

Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems

Hasan Dadas ^1*

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,

Necati Olgun ²

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¹Kastamonu University, Department of Mathematics, Kastamonu, Turkey

²Gaziantep University, Department of Mathematics, Gaziantep, Turkey

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.090202

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Received: February 26, 2023 Revised: April 15, 2023 Accepted: May 24, 2023

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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.

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Dadas, Hasan, Olgun, Necati. "Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 9, no. Issue 2, 2023, pp. 15-21. DOI: https://doi.org/10.54216/GJMSA.090202

Dadas, H., Olgun, N. (2023). Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Galoitica: Journal of Mathematical Structures and Applications, Volume 9(Issue 2), 15-21. DOI: https://doi.org/10.54216/GJMSA.090202

Dadas, Hasan, Olgun, Necati. "Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems." Galoitica: Journal of Mathematical Structures and Applications Volume 9, no. Issue 2 (2023): 15-21. DOI: https://doi.org/10.54216/GJMSA.090202

Dadas, H., Olgun, N. (2023) 'Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems', Galoitica: Journal of Mathematical Structures and Applications, Volume 9(Issue 2), pp. 15-21. DOI: https://doi.org/10.54216/GJMSA.090202

Dadas H, Olgun N. Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 9(Issue 2):15-21. DOI: https://doi.org/10.54216/GJMSA.090202

H. Dadas, N. Olgun, "Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 9, no. Issue 2, pp. 15-21, 2023. DOI: https://doi.org/10.54216/GJMSA.090202

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