International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 26 , Issue 2 , PP: 182-191, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets

Nawras N. Sabry 1 , Fatimah M. Mohammed 2 *

  • 1 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq; Department of Mathematics, College of computer science and Mathematics, Tikrit University, Tikrit, Iraq - (nawrasnazar1993@tu.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq - ( dr.fatimahmahmood@tu.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.260213

    Received: December 17, 2024 Revised: February 02, 2025 Accepted: March 01, 2025
    Abstract

    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.

    Keywords :

    Fuzzy neutrosophic - continuous , Neutrosophic weakly   , continuous , Fuzzy neutrosophic strongly - continuous , Fuzzy neutrosophic -contra continuous , Fuzzy neutrosophic weakly -contra continuous , Fuzzy neutrosophic strongly -contra continuous functions

    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.

    Cite This Article As :
    N., Nawras. , M., Fatimah. Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 182-191. DOI: https://doi.org/10.54216/IJNS.260213
    N., N. M., F. (2025). Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets. International Journal of Neutrosophic Science, (), 182-191. DOI: https://doi.org/10.54216/IJNS.260213
    N., Nawras. M., Fatimah. Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets. International Journal of Neutrosophic Science , no. (2025): 182-191. DOI: https://doi.org/10.54216/IJNS.260213
    N., N. , M., F. (2025) . Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets. International Journal of Neutrosophic Science , () , 182-191 . DOI: https://doi.org/10.54216/IJNS.260213
    N. N. , M. F. [2025]. Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets. International Journal of Neutrosophic Science. (): 182-191. DOI: https://doi.org/10.54216/IJNS.260213
    N., N. M., F. "Several Results on Some Kinds of Continuity via Fuzzy Neutrosophic β^(^m)-Closed Sets," International Journal of Neutrosophic Science, vol. , no. , pp. 182-191, 2025. DOI: https://doi.org/10.54216/IJNS.260213