1
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
(hy230023pep@st.tu.edu.iq)
2
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
(dr.fatimahmast.tu.edu.iqhmood@tu.edu.iq)
3
Department of Mathematics, College of Education, Sana’a University, Sana’a, Yemen
( ghada.mahbashi@su.edu.ye)
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 α^g-closed sets; generalized α^ g-closed set; fuzzy neutrosophic α^g -generalized closed set; uzzy eutrosophic topology.
References :
[1] Fatimah. M. Mohammed and Sh. F. Matar, “Fuzzy Neutrosophic Alpha^m-Closed Sets in Fuzzy Neutrosophic Topological spaces”, Neutrpsophic Sets and Systems, vol. 21, pp.56-65, 2018.
[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.
[5] Chang , C.L. , " Fuzzy Topological Space", J. Math. Anal. Appl., Vol. 24, (1968), 182-190.
[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.
| Style | # |
|---|---|
| MLA | Hajar Y. Mohammed , Fatimah M. Mohammed, Ghada Al-mahbashi. "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |
| APA | Hajar Y. Mohammed , Fatimah M. Mohammed, Ghada Al-mahbashi. (2024). Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |
| Chicago | Hajar Y. Mohammed , Fatimah M. Mohammed, Ghada Al-mahbashi. "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |
| Harvard | Hajar Y. Mohammed , Fatimah M. Mohammed, Ghada Al-mahbashi. (2024). Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |
| Vancouver | Hajar Y. Mohammed , Fatimah M. Mohammed, Ghada Al-mahbashi. Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |
| IEEE | Hajar Y. Mohammed, Fatimah M. Mohammed, Ghada Al-mahbashi, Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 14-23 (Doi : https://doi.org/10.54216/IJNS.240102) |