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)
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.
| Style | # |
|---|---|
| MLA | Jos´e Sanabria, Carlos Granados, Carlos Carpintero. "An neutrosophic topological operator and its application in the building of new neutrosophic sets." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |
| APA | Jos´e Sanabria, Carlos Granados, Carlos Carpintero. (2024). An neutrosophic topological operator and its application in the building of new neutrosophic sets. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |
| Chicago | Jos´e Sanabria, Carlos Granados, Carlos Carpintero. "An neutrosophic topological operator and its application in the building of new neutrosophic sets." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |
| Harvard | Jos´e Sanabria, Carlos Granados, Carlos Carpintero. (2024). An neutrosophic topological operator and its application in the building of new neutrosophic sets. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |
| Vancouver | Jos´e Sanabria, Carlos Granados, Carlos Carpintero. An neutrosophic topological operator and its application in the building of new neutrosophic sets. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |
| IEEE | Jos´e Sanabria, Carlos Granados, Carlos Carpintero, An neutrosophic topological operator and its application in the building of new neutrosophic sets, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 186-195 (Doi : https://doi.org/10.54216/IJNS.240117) |