On Neutrosophic D –Topological Spaces

Amer Khrija; Ekram Abd; Ahmed Salam; Qays Hatem; Said

doi:https://doi.org/10.54216/IJNS.220301

Full Length Article

Volume 22 • Issue 3 • PP: 08-14 • 2023

On Neutrosophic D –Topological Spaces

Amer Khrija Abed ^1*

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,

Ekram Abd Ali ¹

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,

Ahmed Salam Razzaq ¹

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,

Qays Hatem Imran ¹

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,

Said Broumi ²

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¹Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq

²Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco.

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.220301

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Received: April 20, 2023 Revised: July 02, 2023 Accepted: September 28, 2023

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Abstract

In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic topological space .

Keywords

Neutrosophic dense set neutrosophic semi-open neutrosophic topological space neutrosophic semi-continuous (irresolute) function.

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Abed, Amer Khrija, Ali, Ekram Abd, Razzaq, Ahmed Salam, Imran, Qays Hatem, Broumi, Said. "On Neutrosophic D –Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 3, 2023, pp. 08-14. DOI: https://doi.org/10.54216/IJNS.220301

Abed, A., Ali, E., Razzaq, A., Imran, Q., Broumi, S. (2023). On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science, Volume 22(Issue 3), 08-14. DOI: https://doi.org/10.54216/IJNS.220301

Abed, Amer Khrija, Ali, Ekram Abd, Razzaq, Ahmed Salam, Imran, Qays Hatem, Broumi, Said. "On Neutrosophic D –Topological Spaces." International Journal of Neutrosophic Science Volume 22, no. Issue 3 (2023): 08-14. DOI: https://doi.org/10.54216/IJNS.220301

Abed, A., Ali, E., Razzaq, A., Imran, Q., Broumi, S. (2023) 'On Neutrosophic D –Topological Spaces', International Journal of Neutrosophic Science, Volume 22(Issue 3), pp. 08-14. DOI: https://doi.org/10.54216/IJNS.220301

Abed A, Ali E, Razzaq A, Imran Q, Broumi S. On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 3):08-14. DOI: https://doi.org/10.54216/IJNS.220301

A. Abed, E. Ali, A. Razzaq, Q. Imran, S. Broumi, "On Neutrosophic D –Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 3, pp. 08-14, 2023. DOI: https://doi.org/10.54216/IJNS.220301

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