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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 21Issue 2PP: 08-19 • 2023

Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces

Zahraa A. Khalaf 1* ,
Fatimah M. Mohammed 1
1Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
* Corresponding Author.
Received: January 20, 2023 Revised: April 11, 2023 Accepted: May 09, 2023

Abstract

The current study presents a new concept of sets and called fuzzy neutrosophic weakly generalized M-closed and fuzzy neutrosophic strongly M-generalized closed sets in fuzzy neutrosophic topological space. Actually, this  study is an extended form of a research conducted by Z.A. Khalaf, F. M. Mohammed [1]. Moreover, it presents certain related relations of these notions as well as some theorems, propositions with some necessary examples.

Keywords

Fuzzy Neutrosophic Sets Fuzzy Neutrosophic Weakly Generalized M-Closed Set Fuzzy Neutrosophic Strongly M-Generalized Closed Set Fuzzy Neutrosophic Topology.

References

[1] Z.A. Khalaf, F. M. Mohammed, "Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces",

[2] International Journal of Neutrosophic Science, vol. 20(4), pp.36-45, 2023.

[3] L. Zadeh, "Fuzzy sets", Information and control, vol.8, pp. 338-353, 1965.

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

[5] K. Atanassov and S. Stoeva, "Intuitionistic Fuzzy Sets", in: Polish Syrup. On Interval & Fuzzy.

[6] Mathematics”, Poznan, pp.23-26, 1983.

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[8] D. Coker, An Introduction to Intuitionistic Fuzzy Topological Spaces, Fuzzy Sets and System, Vol. 88, (1997), 81-89.

[9] F. Smarandache, “Neutrosophic set- a generalization of intuitionistic fuzzy sets”, International Journal of Pure and Applied Mathematics, vol. 24(3), pp.287-297, 2005.

[10] F. Smaradache, “Neutrosophic Set A Generalization of Intuitionistic Fuzzy set”, Journal of Defense Resourses Management, vol. 1, pp.107-114, 2010.

[11] A. Salama and S. Alblowi, “Generalized Neutrosophic Sets and Generalized Neutrosophic Topological Spaces”, Journal Compiter Sci. Engineering, vol.2 (7), pp.12-23, 2012.

[12] Y. Veereswari, “An Introduction to Fuzzy Neutrosophic Topological Spaces”, IJMA, vol. 8, pp.144-149, 2017.

[13] 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.

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

[15] F. M. Mohammed and N.N. Sabry, “On Separation Sxioms with New Constructions in Fuzzy Neutrosophic Topological Spaces”, AIP Conference Proceedings, 2021 (in press).

[16] 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.

Cite This Article

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Khalaf, Zahraa A., Mohammed, Fatimah M.. "Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, 2023, pp. 08-19. DOI: https://doi.org/10.54216/IJNS.210201
Khalaf, Z., Mohammed, F. (2023). Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, Volume 21(Issue 2), 08-19. DOI: https://doi.org/10.54216/IJNS.210201
Khalaf, Zahraa A., Mohammed, Fatimah M.. "Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science Volume 21, no. Issue 2 (2023): 08-19. DOI: https://doi.org/10.54216/IJNS.210201
Khalaf, Z., Mohammed, F. (2023) 'Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces', International Journal of Neutrosophic Science, Volume 21(Issue 2), pp. 08-19. DOI: https://doi.org/10.54216/IJNS.210201
Khalaf Z, Mohammed F. Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. 2023;Volume 21(Issue 2):08-19. DOI: https://doi.org/10.54216/IJNS.210201
Z. Khalaf, F. Mohammed, "Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, pp. 08-19, 2023. DOI: https://doi.org/10.54216/IJNS.210201
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