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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 36-45, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces

Zahraa A. Khalaf 1 * , Fatimah M. Mohammed 2

  • 1 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ - (zahraa.ahmed.k@st.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.200402

    Received: December 05, 2022 Accepted: March 15, 2023
    Abstract

    A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented.   After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed.

    Keywords :

    Fuzzy Neutrosophic Sets (FNS) , Fuzzy Neutrosophic M-Open Set(FNM-OS) , Fuzzy Neutrosophic M-Closed Set(FNM-CS) , Fuzzy Neutrosophic Topology (FNT).

    References

    [1] F. Smarandache, “Neutrosophic set- a generalization of intuitionistic fuzzy sets”, International Journal of Pure and Applied Mathematics, vol. 24(3), pp.287-297, 2005.

    [2] F. Smaradache, “Neutrosophic Set A Generalization of Intuitionistic Fuzzy set”, Journal of Defense Resourses Management, vol. 1, pp.107-114, 2010.

    [3] A. Salama and S. Alblowi, “Generalized Neutrosophic Sets and Generalized Neutrosophic Topological Spaces”, Journal Compiter Sci. Engineering, vol.2 (7), pp.12-23, 2012.

    [4] Y. Veereswari, “An Introduction to Fuzzy Neutrosophic Topological Spaces”, IJMA, vol. 8, pp.144-149, 2017.

    [5] 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.

    [6] F. M. Mohammed, “Generalized b Closed Sets and Generalized b Open Sets in Fuzzy Neutrosophic bi-Topological Spaces”, Neutrpsophic Sets and Systems, vol. 35, pp.188-197,2020.

    [7] 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.

    [8] N.N. Sabry and F. M. Mohammed," On Separation Axiomes with New Constructions in Fuzzy Neutrosophic Topological Spaces", Neutrosophic Sets and Systems, vol. 45, pp. 133–150, 2021.

    [9] F. M. Mohammed and N.N. Sabry,“T2-Separation Axioms with New Types of Constructions in Fuzzy Neutrosophic Topological Spaces”, AIP Conference Proceedings, 2394, 070015.

    [10] T.M. Ali and F. M. Mohammed, "Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, 18(4), pp. 174–182, 2022.

    [11] H. F. Khudair and F. M. Mohammed, " Generalized of A-Closed Set and Ƈ-Closed Set in Fuzzy Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, 19(2), pp. 8–18, 2022.

    [12] Z. A. Khalaf and F. M. Mohammed "Some Properties of Delta-Open and Theta-Open Sets on Fuzzy Neutrosophic Topological Spaces" AIP Conference Proceedings, 2023 (Accepted).

    [13] I. Arockiarani and J. Martina Jency, More on Fuzzy Neutrosophic Sets and Fuzzy Neutrosophic Topological Spaces, IJIRS, Vol. 3, Issue 5, (2014), 642-652.

    [14] V. Christianto, F. Smarandache and M. Aslam, “How we can extend the standard deviation notion with neutrosophic interval and quadruple neutrosophic numbers”, International Journal of Neutrosophic Science, vol. 2(2), pp.72-76 , 2020.

    Cite This Article As :
    A., Zahraa. , M., Fatimah. An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 36-45. DOI: https://doi.org/10.54216/IJNS.200402
    A., Z. M., F. (2023). An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, (), 36-45. DOI: https://doi.org/10.54216/IJNS.200402
    A., Zahraa. M., Fatimah. An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science , no. (2023): 36-45. DOI: https://doi.org/10.54216/IJNS.200402
    A., Z. , M., F. (2023) . An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science , () , 36-45 . DOI: https://doi.org/10.54216/IJNS.200402
    A. Z. , M. F. [2023]. An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. (): 36-45. DOI: https://doi.org/10.54216/IJNS.200402
    A., Z. M., F. "An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 36-45, 2023. DOI: https://doi.org/10.54216/IJNS.200402

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