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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 160-169 , 2024 | Cite this article as | XML | Html |PDF

Title

Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces

  Nawras N. Sabry 1 ,   Fatimah M. Mohammed 2 *

1  Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
    (nawrasnazar1993@tu.edu.iq)

2   Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
    (dr.fatimahmahmood@tu.edu.iq)

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Doi   :   https://doi.org/10.54216/IJNS.230412

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 as :
Style #
MLA Nawras N. Sabry , Fatimah M. Mohammed. "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
APA Nawras N. Sabry , Fatimah M. Mohammed. (2024). Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
Chicago Nawras N. Sabry , Fatimah M. Mohammed. "Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
Harvard Nawras N. Sabry , Fatimah M. Mohammed. (2024). Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
Vancouver Nawras N. Sabry , Fatimah M. Mohammed. Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
IEEE Nawras N. Sabry, Fatimah M. Mohammed, Betam-Closed Sets in Fuzzy Neutrosophic Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 160-169 (Doi   :  https://doi.org/10.54216/IJNS.230412)
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