International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 24 , Issue 2 , PP: 108-119, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces

Sara Q. khamis 1 , Fatimah M. Mohammed 2 *

  • 1 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, Iraq - (Sara.q.khamis@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.240210

    Received: December 23, 2023 Revised: February 16, 2024 Accepted: April 24, 2024
    Abstract

    The purpose of the current paper is study some new concept of sets and called fuzzy neutrosophic rar and fuzzy neutrosophic dense sets in fuzzy neutrosophic opology and investigate some properties. In fact, the subject of fuzzy neutrosophic sets is already conducted by F. M. Mohammed et.al. [1-9]. However, the current study illustrates number of notable examples to shed the light on some novel attributes of recently established terms, as well as showing related interactions among these researches.

    Keywords :

    fuzzy eutrosophic rare sets , fuzzy neutrosophic dense sets , fuzzy neutrosophic topology.

    References

    [1] 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.

    [2] F. M. Mohammed and S.W. Raheem, “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.

    [3] 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.

    [6] 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, vol. 19(2), pp: 8–18, 2022.

    [7] Z.A. Khalaf and F. M. Mohammed, " An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces", International Journal of Neutrosophic Science, vol. 20(4), pp: 36-45, 2023.

    [8] Nawras N. Sabry and Fatimah M. Mohammed,” Beta^m-Closed Sets in fuzzy neutrosophic Topological Spaces, ", International Journal of Neutrosophic Science, vol. 23(4),pp: 160-169, 2024.

    [9] Hajar Y. Mohammed, Fatimah M. Mohammed and Ghada Al-mahbashi  “Some Properties of a ^ g-Closed Sets in Fuzzy Neutrosophic Topology” ", International Journal of Neutrosophic Science, vol. 24(1), PP: 14-23, 2024.

    [10] L. A. Zadeh, " Fuzzy  Sets",  Inform.  and Control, Vol. 8, pp:338-353, 1965.

    [11] C.L.  Chang , " Fuzzy  Topological  Space", J. Math.  Anal.  Appl., Vol.  24, pp:182-190,1968,

    [12] F. Smaradache," Neutrosophic Set : A Generalization of Intuitionistic Fuzzy Set", Journal of Defense Resourses Management,Vol. 1, pp:1-10, 2010.

    [13] A. A. Salama and S. A. Alblowi, "Neutrosophic Set  and Neutrosophic Topological  Spaces",  IOSR  Journal of   Mathematics,  ISSN:2278-    5728,Vol. 3, Issue 4, pp:31-35, 2012.

    [14] I. Arockiarani and J. Martina Jency,"More  on Fuzzy Neutrosophic Sets  and  Fuzzy Neutrosophic Topological  Spaces",  IJIRS, Vol. 3, Issue 5, pp:642-652, 2014.

    [15] Y.  Veereswari , An Introduction to  Fuzzy Neutrosophic Topological Spaces,  IJMA, Vol. 8, pp:144-149, 2017.

    [16] 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.

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

                 

    Cite This Article As :
    Q., Sara. , M., Fatimah. Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 108-119. DOI: https://doi.org/10.54216/IJNS.240210
    Q., S. M., F. (2024). Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, (), 108-119. DOI: https://doi.org/10.54216/IJNS.240210
    Q., Sara. M., Fatimah. Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science , no. (2024): 108-119. DOI: https://doi.org/10.54216/IJNS.240210
    Q., S. , M., F. (2024) . Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science , () , 108-119 . DOI: https://doi.org/10.54216/IJNS.240210
    Q. S. , M. F. [2024]. Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. (): 108-119. DOI: https://doi.org/10.54216/IJNS.240210
    Q., S. M., F. "Rare and Dense Sets in Fuzzy Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 108-119, 2024. DOI: https://doi.org/10.54216/IJNS.240210