Volume 26 • Issue 2 • PP: 182-191 • 2025
Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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In this paper, we defined some new kinds of continuous functions in fuzzy neutrosophic topology and called fuzzy neutrosophic - continuous, fuzzy neutrosophic weakly continuous, fuzzy neutrosophic strongly - continuous, fuzzy neutrosophic -contra continuous, fuzzy neutrosophic weakly -contra continuous and fuzzy neutrosophic strongly -contra continuous functions. Then, we defined the relationship between the define functions with their comparative.
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References
[1] L. A. Zadeh, "Fuzzy Sets," Information and Control, vol. 8, pp. 338–353, 1965.
[2] K. Atanassov and S. Stoeva, "Intuitionistic Fuzzy Sets," in Polish Symposium on Interval & Fuzzy Mathematics, Poznan, 1983, pp. 23–26.
[3] F. Smarandache, A Unifying Field in Logics: Neutrosophic Set, Logic, Neutrosophy, Neutrosophic Probability. Rehoboth, NM: American Research Press, 1999.
[4] A. A. Salama and S. A. Alblowi, "Neutrosophic Set and Neutrosophic Topological Spaces," IOSR Journal of Mathematics, vol. 3, no. 4, pp. 31–35, 2012.
[5] I. Arockiarani and J. M. Jency, "More on Fuzzy Neutrosophic Sets and Fuzzy Neutrosophic Topological Spaces," International Journal of Innovative Research in Science, vol. 3, no. 5, pp. 642–652, 2014.
[6] Y. Veereswari, "An Introduction to Fuzzy Neutrosophic Topological Spaces," International Journal of Mathematical Archive, vol. 8, no. 3, pp. 144–149, 2017.
[7] S. S. Thakur and S. Jafari, "(m,a,n)-Fuzzy Neutrosophic Sets and Their Topological Structure," Journal of Intelligent and Fuzzy Systems, vol. 40, no. 5, pp. 1–12, 2022.
[8] N. N. Sabry and F. M. Mohammed, "On Separation Axioms with New Constructions in Fuzzy Neutrosophic Topological Spaces," Journal of Intelligent and Fuzzy Systems, vol. 41, no. 3, pp. 133–150, 2023.
[9] B. S. Aswini and R. K. Choudary, "On Fuzzy Neutrosophic Supra Soft Topological Spaces," Universal International Journal of Engineering Sciences, vol. 4, no. 3, pp. 80–85, 2024.
[10] S. Thakur and S. Jafari, "On Some Topological Aspects in Neutrosophic-2-Normed Spaces," Filomat, vol. 37, no. 30, pp. 1–14, 2023.
[11] M. Jency, "Fuzzy Neutrosophic Relations," Zenodo, 2016. [Online]. Available: https://www.academia.edu/109993030/Fuzzy_Neutrosophic_Relations.
[12] F. Ali, B. A. Rather, M. Naeem, and W. Wang, "Degree and Distance Based Topological Descriptors of Power Graphs of Finite Non-Abelian Groups," Discrete Applied Mathematics, vol. 304, pp. 1–14, 2023.
[13] S. Thakur and S. Jafari, "Baire Spaces on Fuzzy Neutrosophic Topological Spaces," Journal of Intelligent and Fuzzy Systems, vol. 42, no. 2, pp. 709–720, 2023.
[14] F. Al-Sharqi, A. Al-Quran, and Z. M. Rodzi, "Multi-Attribute Group Decision-Making Based on Aggregation Operator and Score Function of Bipolar Neutrosophic Hypersoft Environment," Journal of Intelligent and Fuzzy Systems, vol. 43, no. 1, pp. 465–492, 2023.
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