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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 24 • Issue 1 • PP: 186-195 • 2024

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

Jos´e Sanabria 1*
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,
Carlos Granados 2
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,
Carlos Carpintero 3
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1Departamento de Matem´aticas, Facultad de Educaci´on y Ciencias, Universidad de Sucre, Sincelejo, Colombia
2Doctorado en Matem´aticas, Universidad de Antioquia, Medell´ın, Colombia
3Facultad de Ciencias B´asicas, Ingenier´ıas y Arquitectura, Corporaci´on Universitaria del Caribe-CECAR, Sincelejo, Colombia
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.240117
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

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format_quote
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. Volume 24, no. Issue 1, 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, Volume 24(Issue 1), 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 Volume 24, no. Issue 1 (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, Volume 24(Issue 1), pp. 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. 2024;Volume 24(Issue 1):186-195. DOI: https://doi.org/10.54216/IJNS.240117
J. Sanabria, C. Granados, C. Carpintero, "An neutrosophic topological operator and its application in the building of new neutrosophic sets," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, pp. 186-195, 2024. DOI: https://doi.org/10.54216/IJNS.240117
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