New Certain Continuous Mappings via Neutrosophic Topological Spaces
DOI:
https://doi.org/10.29304/jqcsm.2025.17.32420Keywords:
Strongly neutrosophic, weakly continuous mapAbstract
In this article, we present the new class of neutrosophic continuous mappings called; -continuous map (WN -CM) strongly neutrosophic -continuous map (SN -CM), neutrosophic -weakly continuous map (N W-CM) and neutrosophic -weakly continuous map (N S-CM) includes an examination of the most notable traits and attributes associated with it. Moreover, we introduced the notions of -irresolute map (WN -CIM) strongly neutrosophic - irresolute map (SN -CIM), neutrosophic -weakly irresolute map (N W-CIM) and neutrosophic -weakly irresolute map (N S-CIM) in neutrosophic topological spaces (NTS) were investigated, coupled with a few characteristics that are connected to them. Finally, we studied the relationship among continuous and irresolute mappings for these kinds that have been presented
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References
L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965.
K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, pp. 87–96, 1986.
M. Parimala, F. Smarandache, S. Jafari, and R. Udhayakumar, “On Neutrosophic αψ-closed sets,” Information, vol. 9, p. 103, 2018.
M. Abdel-Basset, M. El-hoseny, A. Gamal, and F. Smarandache, “A novel model for evaluation hospital medical care systems based on plithogenic sets,” Artificial Intelligence in Medicine, p. 101710, 2019.
M. Abdel-Basset, M. Mohamed, and F. Smarandache, “Linear fractional programming based on triangular neutrosophic numbers,” Int. J. Appl. Manag. Sci., vol. 11, no. 1, pp. 1–20, 2019.
M. Abdel-Basset, R. Mohamed, A. E. N. H. Zaied, and F. Smarandache, “A hybrid plithogenic decision-making approach with quality function deployment for selecting supply chain sustainability metrics,” Symmetry, vol. 11, no. 7, p. 903, 2019.
M. Abdel-Basset, M. Mohamed, and F. Smarandache, “Linear fractional programming based on triangular neutrosophic numbers,” Int. J. Appl. Manag. Sci., vol. 11, no. 1, pp. 1–20, 2019.
M. Abdel-Basset, A. Atef, and F. Smarandache, “A hybrid neutrosophic multiple criteria group decision making approach for project selection,” Cognitive Systems Research, vol. 57, pp. 216–227, 2019.
M. Abdel-Basset, A. Gamal, G. Manogaran, and H. V. Long, “A novel group decision making model based on neutrosophic sets for heart disease diagnosis,” Multimedia Tools and Applications, pp. 1–26, 2019.
M. Abdel-Basset, V. Chang, M. Mohamed, and F. Smarandache, “A refined approach for forecasting based on neutrosophic time series,” Symmetry, vol. 11, no. 4, p. 457, 2019.
A. A. Salama and S. A. Alblowi, “Neutrosophic set and neutrosophic topological spaces,” IOSR J. Math., vol. 3, pp. 31–35, 2012.
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Copyright (c) 2025 Ghanim Aad Abod , Samer Raad Yassen
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
