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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 23Issue 4PP: 160-169 • 2024

Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces

Nawras N. Sabry 1* ,
Fatimah M. Mohammed 1
1Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
* Corresponding Author.
Received: June 27, 2023 Revised: January 19, 2024 Accepted: March 07, 2024

Abstract

The current work offers a new concept of sets and called uzzy eutrosophic m-closed sets in fuzzy neutrosophic topology. In fact, the research is an extended form of a research conducted by F. M. Mohammed et.al. [1-7]. It explores a number of noteworthy examples to shed the light on the new characteristics and attributes of these recently formed conceptions, as well as some associated interactions between them.

Keywords

uzzy eutrosophic closed sets uzzy eutrosophic Betam-closed sets uzzy eutrosophic topology.

References

[1] F. M. Mohammed, A. A. Hijab and Sh. F. Matar, “Fuzzy Neutrosophic Weakly- Generalized closed set in Fuzzy Neutrosophic Topological Spaces”, University of Anbar for Pure Science, vol. 12, pp. 63-73, 2018.

[2] F. M. Mohammed and S.W. Raheem, “Generalized b Closed Sets and Generalized b Open Sets in Fuzzy Neutrosophic bi Topological Spaces”, Neutrpsophic Sets and Systems, vol. 35, pp.188-197,2020.

[3] F. M. Mohammed and S.W. Raheem, “Weakly b-Closed Sets and Weakly b-Open Sets based of Fuzzy Neutrosophic bi-Topological Spaces”, International Journal of Neutrosophic Science, vol. 8(1), pp.34-43, 2020.

[4] N.N. Sabry and F. M. Mohammed," On Separation Axiomes with New Constructions in Fuzzy Neutrosophic Topological Spaces", Neutrosophic Sets and Systems, vol. 45, pp. 133–150, 2021.

[5] T.M. Ali and F. M. Mohammed, "Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, vol.18(4), pp. 174–182, 2022.

[6] H. F. Khudair and F. M. Mohammed, " Generalized of A-Closed Set and Ƈ-Closed Set in Fuzzy Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, vol. 19(2), pp. 8–18, 2022.

[7] Z.A. Khalaf and F. M. Mohammed, " An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces", International Journal of Neutrosophic Science, vol. 20(4),pp36-45,2023.

[8] L. A. Zadeh, " Fuzzy  Sets",  Inform.  and Control, Vol. 8, (1965), 338-353.

[9] C.L.  Chang , " Fuzzy  Topological  Space", J. Math.  Anal.  Appl., Vol.  24, (1968), 182-190.

[10] F. Smaradache," Neutrosophic Set : A Generalization of Intuitionistic Fuzzy Set", Journal of  Defense Resourses Management,Vol. 1, (2010), 1-10.

[11] A. A. Salama and S. A. Alblowi, "Neutrosophic Set  and Neutrosophic Topological  Spaces",  IOSR  Journal of   Mathematics,  ISSN:2278-    5728,Vol. 3, Issue 4, (2012), 31-35.

[12] I. Arockiarani and J. Martina Jency,"More  on Fuzzy Neutrosophic Sets  and  Fuzzy Neutrosophic Topological  Spaces",  IJIRS, Vol. 3, Issue 5, (2014), 642-652.

[13] F. Smarandache. " A Unifying Field in   Logics:   Neutrosophic  Logic Neutrosophy", Neutrosophic Set, Neutrosophic Probability.  American Research Press, Rehoboth, NM, (1999).

[13] A. A. Salama, Florentin Smarandache and S. A. Alblowi, "the Characteristic Function of  Neutrosophic Set", Neutrosophic Sets and  Systems, Vol. 3, (2014), 14-17.

[14] I. Arokiarani,  R. Dhavaseelan, S. Jafari and M. Parimala, On Some New Notions and  Functions   in  Neutrosophic  Topological  Spaces, Neutrosophic Sets and System, Vol. 16, (2017), 16-19.     

[15] Y.  Veereswari , An Introduction to  Fuzzy Neutrosophic Topological Spaces,  IJMA, Vol. 8, (2017

Cite This Article

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Sabry, Nawras N., Mohammed, Fatimah M.. "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, 2024, pp. 160-169. DOI: https://doi.org/10.54216/IJNS.230412
Sabry, N., Mohammed, F. (2024). Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, Volume 23(Issue 4), 160-169. DOI: https://doi.org/10.54216/IJNS.230412
Sabry, Nawras N., Mohammed, Fatimah M.. "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science Volume 23, no. Issue 4 (2024): 160-169. DOI: https://doi.org/10.54216/IJNS.230412
Sabry, N., Mohammed, F. (2024) 'Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces', International Journal of Neutrosophic Science, Volume 23(Issue 4), pp. 160-169. DOI: https://doi.org/10.54216/IJNS.230412
Sabry N, Mohammed F. Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 4):160-169. DOI: https://doi.org/10.54216/IJNS.230412
N. Sabry, F. Mohammed, "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 4, pp. 160-169, 2024. DOI: https://doi.org/10.54216/IJNS.230412
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