Volume 21 • Issue 2 • PP: 08-19 • 2023
Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF 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
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.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.