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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 24 , Issue 1 , PP: 186-195, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

An neutrosophic topological operator and its application in the building of new neutrosophic sets

Jos´e Sanabria 1 * , Carlos Granados 2 , Carlos Carpintero 3

  • 1 Departamento de Matem´aticas, Facultad de Educaci´on y Ciencias, Universidad de Sucre, Sincelejo, Colombia - (jesanabri@gmail.com)
  • 2 Doctorado en Matem´aticas, Universidad de Antioquia, Medell´ın, Colombia - (carlosgranadosortiz@outlook.es)
  • 3 Facultad de Ciencias B´asicas, Ingenier´ıas y Arquitectura, Corporaci´on Universitaria del Caribe-CECAR, Sincelejo, Colombia - (carpintero.carlos@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.240117

    Received: August 18, 2023 Revised: December 22, 2023 Accepted: April 01, 2024
    Abstract

    In this article, we use the notion of neutrosophic local function to introduce a new neutrosophic operator in the context of a neutrosophic topological space equipped with a neutrosophic ideal. Also, we introduce and study some new classes of neutrosophic sets defined in terms of the neutrosophic local function and the new notion of neutrosophic operator given.

    Keywords :

    Neutrosophic set , neutrosophic topological space , neutrosophic ideal , neutrosophic local function

    References

    [1] E. AboElHamd, H.M. Shamma, M. Saleh, I. El-Khodary, Neutrosophic logic theory and applications, Neutrosophic Sets and Systems 41 (2021), 30-51.

    [2] S.A. Alblowi, A.A. Salama, M. Eisa, New concepts of neutrosophic sets, International Journal of Mathematics and Computer Applications Research 3(4) (2013), 95-102.

    [3] S. Alias, D. Mohamad, A review on neutrosophic set and its development, Menemui Matematik 39 (2017), 61-69.

    [4] A. K. Essa, R. Sabbagh, A.A. Salama, H.E. Khalid, A.-A. Aziz, A.A. Mohammed, An overview of neutrosophic theory in medicine and healthcare, Neutrosophic Sets and Systems 61 (2023), 196-208.

    [5] S. Karatas¸, C. Kuru, Neutrosophic topology, Neutrosophic Sets and Systems 13 (2016), 90-95.

    [6] G.C. Ray, S. Dey, Neutrosophic point and its neighbourhood structure, Neutrosophic Sets and Systems 43 (2021), 156-168.

    [7] G.C. Ray, S. Dey, Relation of quasi-coincidence for neutrosophic sets, Neutrosophic Sets and Systems 46 (2021), 402-415.

    [8] A.A. Salama, S.A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics 3(4) (2012), 31-35.

    [9] A.A. Salama, F. Smarandache, Neutrosophic local function and generated neutrosophic topology, Neutrosophic Knowledge 1 (2020), 1-6.

    [10] J. Sanabria, C. Granados, E. Rosas, Closure and kernel defined through neutrosophic points, Submitted.

    [11] F. Smarandache, Neutrosophic set - a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics 24(3) (2005), 287–297.

    [12] F. Smarandache, Foundation of revolutionary topologies: An overview, examples, trend analysis, research issues, challenges, and future directions, Neutrosophic Systems with Applications 13(3) (2024), 45–66.

    Cite This Article As :
    Sanabria, Jos´e. , Granados, Carlos. , Carpintero, Carlos. An neutrosophic topological operator and its application in the building of new neutrosophic sets. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 186-195. DOI: https://doi.org/10.54216/IJNS.240117
    Sanabria, J. Granados, C. Carpintero, C. (2024). An neutrosophic topological operator and its application in the building of new neutrosophic sets. International Journal of Neutrosophic Science, (), 186-195. DOI: https://doi.org/10.54216/IJNS.240117
    Sanabria, Jos´e. Granados, Carlos. Carpintero, Carlos. An neutrosophic topological operator and its application in the building of new neutrosophic sets. International Journal of Neutrosophic Science , no. (2024): 186-195. DOI: https://doi.org/10.54216/IJNS.240117
    Sanabria, J. , Granados, C. , Carpintero, C. (2024) . An neutrosophic topological operator and its application in the building of new neutrosophic sets. International Journal of Neutrosophic Science , () , 186-195 . DOI: https://doi.org/10.54216/IJNS.240117
    Sanabria J. , Granados C. , Carpintero C. [2024]. An neutrosophic topological operator and its application in the building of new neutrosophic sets. International Journal of Neutrosophic Science. (): 186-195. DOI: https://doi.org/10.54216/IJNS.240117
    Sanabria, J. Granados, C. Carpintero, C. "An neutrosophic topological operator and its application in the building of new neutrosophic sets," International Journal of Neutrosophic Science, vol. , no. , pp. 186-195, 2024. DOI: https://doi.org/10.54216/IJNS.240117

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