Galoitica: Journal of Mathematical Structures and Applications

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Volume 9 , Issue 2 , PP: 15-21, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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

Hasan DADAS 1 * , Necati Olgun 2

  • 1 Kastamonu University, Department of Mathematics, Kastamonu, Turkey - (hsn.dad@gmail.com)
  • 2 Gaziantep University, Department of Mathematics, Gaziantep, Turkey - (olgun@gantep.edu.tr)
  • Doi: https://doi.org/10.54216/GJMSA.090202

    Received: June 26, 2023 Revised: September 23, 2023 Accepted: December 11, 2023
    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.

    Cite This Article As :
    DADAS, Hasan. , Olgun, Necati. Neutrosophic Soft n-Topological Spaces: A Framework for Decision-Making Problems. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 15-21, 2023. DOI: https://doi.org/10.54216/GJMSA.090202