1
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
(zahraa.ahmed.k@st.tu.edu.iq)
2
Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ
(dr.fatimahmahmood@tu.edu.iq)
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.
[7] K. Atanassov, "Intuitionistic fuzzy sets. Fuzzy Sets and Systems", vol.20(1), pp.87-96, 1986.
[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.
| Style | # |
|---|---|
| MLA | Zahraa A. Khalaf , 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, No. 2, 2023 ,PP. 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |
| APA | Zahraa A. Khalaf , Fatimah M. Mohammed. (2023). Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |
| Chicago | Zahraa A. Khalaf , Fatimah M. Mohammed. "Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces." Journal of International Journal of Neutrosophic Science, 21 no. 2 (2023): 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |
| Harvard | Zahraa A. Khalaf , Fatimah M. Mohammed. (2023). Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |
| Vancouver | Zahraa A. Khalaf , Fatimah M. Mohammed. Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 2 ): 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |
| IEEE | Zahraa A. Khalaf, Fatimah M. Mohammed, Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 2 , (2023) : 08-19 (Doi : https://doi.org/10.54216/IJNS.210201) |