Volume 26 , Issue 3 , PP: 158-165, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Yaseen S. R. 1 * , Asmaa Ghasoob Raoof 2 , Shadia Majeed noori 3
Doi: https://doi.org/10.54216/IJNS.260311
The goal of this study is to introduce fuzzy neutrosophic -closed sets, a novel notion of collections in fuzzy neutrosophic topology. In this research, we use certain novel concepts, theories, and hypotheses to explore and analyze other innovative characteristics of these classes. In order to make clear the connections among the new research of -closed sets and other sets, a collection of instances is given and explored.
P^*-closed sets , Generalized P^*-closed sets , &alpha , ^m-closed set
[1] C. L. Chang, “Fuzzy Topological Spaces,” Journal of Mathematical Analysis and Applications, vol. 24, no. 1, pp. 182-190, 1968.
[2] F. Smarandache, “Neutrosophic Set – A Generalization of the Intuitionistic Fuzzy Set,” Journal of Defense Resources Management (JoDRM), vol. 1, no. 1, pp. 107-116, 2010.
[3] A. A. Salama and S. A. Alblowi, “Neutrosophic Set and Neutrosophic Topological Spaces,” Neutrosophic Sets and Systems, vol. 3, no. 4, pp. 31-35, 2012.
[4] I. Arockiarani and J. M. Jency, “More on Fuzzy Neutrosophic Sets and Fuzzy Neutrosophic Topological Spaces,” International Journal of Innovative Research and Studies, vol. 3, no. 5, pp. 643-652, 2014.
[5] F. M. Mohammed and S. F. Matar, “Fuzzy Neutrosophic α^m -Closed Sets in Fuzzy Neutrosophic Topological Spaces,” Neutrosophic Sets and Systems, vol. 21, pp. 56-66, 2018.
[6] A. Al-Quran, F. Al-Sharqi, A. U. Rahman, and Z. M. Rodzi, “The q-rung orthopair fuzzy-valued neutrosophic sets: Axiomatic properties, aggregation operators and applications,” AIMS Mathematics, vol. 9, no. 2, pp. 5038-5070, 2024.
[7] Y. Veereswari, “An Introduction to Fuzzy Neutrosophic Topological Spaces,” International Journal of Mathematical Analysis (IJMA), vol. 8, pp. 144-149, 2017.
[8] R. P. Agarwal, S. Milles, B. Ziane, A. Mennouni, and L. Zedam, “Ideals and filters on neutrosophic topologies generated by neutrosophic relations,” Axioms, vol. 13, no. 5, p. 292, 2024.
[9] C. Maheswari and S. Chandrasekar, “Neutrosophic gb-Closed Sets and Neutrosophic gb-Continuity,” Infinite Study, 2020.
[10] S. R. Alavi and M. A. Zadeh, “Fuzzy Topological Structures and Their Applications,” Journal of Mathematical Analysis and Applications, vol. 498, no. 1, pp. 123-135, 2021.
[11] R. Thomas and S. Anila, “On Neutrosophic Semi-Preopen Sets and Semi-Preclosed Sets in a Neutrosophic Topological Space,” International Journal of Scientific Research in Mathematical and Statistical Sciences, vol. 5, no. 5, pp. 138-143, 2018.
[12] S. Narmatha, E. Glory Bebina, and R. Vishnu Priyaa, “On πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces,” International Journal of Innovative Technology and Exploring Engineering (IJITEE), vol. 8, no. 125, pp. 505-510, 2019.
[13] W. Al-Omeri and S. Jafari, “On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces,” Mathematics, pp. 1–12, 2019.
[14] H. Y. Mohammed, F. M. Mohammed, and G. Al-mahbashi, “On Q* -Closed Sets in Fuzzy Neutrosophic Topology: Principles, Proofs, and Examples,” Neutrosophic Systems with Applications, vol. 20, pp. 67-74, 2024.
[15] J. N. Ismail et al., “Enhancing Decision Accuracy in DEMATEL using Bonferroni Mean Aggregation under Pythagorean Neutrosophic Environment,” Journal of Fuzzy Extension and Applications (JFEA), vol. 4, no. 4, pp. 281-298, 2023.
[16] C. Maheswari and S. Chandrasekar, “Neutrosophic gb-Closed Sets and Neutrosophic gb-Continuity,” Infinite Study, 2020.
