Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology

Hajar Y.; Fatimah M.; Ghada

doi:https://doi.org/10.54216/IJNS.240102

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Volume 24 • Issue 1 • PP: 14-23 • 2024

Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology

Hajar Y. Mohammed ^1*

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,

Fatimah M. Mohammed ¹

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,

Ghada Al-mahbashi ²

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¹Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ

²Department of Mathematics, College of Education, Sana’a University, Sana’a, Yemen

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.240102

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Received: October 05, 2023 Revised: December 02, 2023 Accepted: March 06, 2024

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Abstract

The present paper offers a new notion of sets known as fuzzy neutrosophic ^g-closed sets in fuzzy neutrosophic topology. It is an extended form of work conducted by Fatimah et.al. [1-3]. It investigates several properties of fuzzy neutrisophic ^ g- closed sets and explores a number of examples as to shed the light on the new characteristics of ^g-closed sets as well as some associated relations between them with other sets.

Keywords

fuzzy eutrosophic closed set uzzy eutrosophic&nbsp &alpha ^g-closed sets generalized&nbsp &alpha ^ g-closed set fuzzy neutrosophic&nbsp &alpha ^g -generalized closed set uzzy eutrosophic topology.

References

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[2] Fatimah. 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.

[3] Fatimah. 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.

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

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

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

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

[9] Fatimah, M. Mohammed and Sara, 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.

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

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

[12] Huda, F. Khudair and Fatimah, 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.

[13] Zahraa, A. Khalaf and Fatimah, M. Mohammed, " An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces", International Journal of Neutrosophic Science, vol. 20(4),pp. 36-45,2023.

[14] Zahraa, A. Khalaf and Fatimah, M. Mohammed," Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces”, International Journal of Neutrosophic Science, vol. 21(2), pp. 8-19,2023.

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Mohammed, Hajar Y., Mohammed, Fatimah M., Al-mahbashi, Ghada. "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, 2024, pp. 14-23. DOI: https://doi.org/10.54216/IJNS.240102

Mohammed, H., Mohammed, F., Al-mahbashi, G. (2024). Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science, Volume 24(Issue 1), 14-23. DOI: https://doi.org/10.54216/IJNS.240102

Mohammed, Hajar Y., Mohammed, Fatimah M., Al-mahbashi, Ghada. "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology." International Journal of Neutrosophic Science Volume 24, no. Issue 1 (2024): 14-23. DOI: https://doi.org/10.54216/IJNS.240102

Mohammed, H., Mohammed, F., Al-mahbashi, G. (2024) 'Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology', International Journal of Neutrosophic Science, Volume 24(Issue 1), pp. 14-23. DOI: https://doi.org/10.54216/IJNS.240102

Mohammed H, Mohammed F, Al-mahbashi G. Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 1):14-23. DOI: https://doi.org/10.54216/IJNS.240102

H. Mohammed, F. Mohammed, G. Al-mahbashi, "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 1, pp. 14-23, 2024. DOI: https://doi.org/10.54216/IJNS.240102

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