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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 24 , Issue 1 , PP: 14-23, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology

Hajar Y. Mohammed 1 , Fatimah M. Mohammed 2 * , Ghada Al-mahbashi 3

  • 1 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ - (hy230023pep@st.tu.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Tikrit, IRAQ - (dr.fatimahmast.tu.edu.iqhmood@tu.edu.iq)
  • 3 Department of Mathematics, College of Education, Sana’a University, Sana’a, Yemen - ( ghada.mahbashi@su.edu.ye)

    • Doi: https://doi.org/10.54216/IJNS.240102

    Received: August 05, 2023 Revised: December 02, 2023 Accepted: March 06, 2024
    Abstract

    The present paper offers a new notion of sets known as  fuzzy neutrosophic ^g-closed sets in fuzzy neutrosophic topology. It is an extended form of work conducted by Fatimah et.al. [1-3]. It investigates several properties of fuzzy neutrisophic ^ g- closed sets and explores a number of examples as to shed the light on the new characteristics of ^g-closed sets as well as some associated  relations between them with other sets.

    Keywords :

    fuzzy eutrosophic closed set , uzzy eutrosophic  , &alpha , ^g-closed sets , generalized  , &alpha , ^ g-closed set , fuzzy neutrosophic  , &alpha , ^g -generalized closed set , uzzy eutrosophic topology.

    References

    [1] Fatimah. M. Mohammed and Sh. F. Matar, “Fuzzy Neutrosophic Alpha^m-Closed Sets in Fuzzy Neutrosophic   Topological spaces”, Neutrpsophic Sets and Systems, vol. 21, pp.56-65, 2018.

    [2]  Fatimah. 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.

    [3] Fatimah. 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.

    [4] Zadeh , L. A., " Fuzzy  Sets",  Inform.  and Control, Vol. 8, (1965), 338-353.

    [5] Chang , C.L.  , " Fuzzy  Topological  Space", J. Math.  Anal.  Appl., Vol.  24, (1968), 182-190.

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

    [7] Ahmed,  A. Salama and Salwa. A. Alblowi, "Neutrosophic Set  and Neutrosophic Topological  Spaces",  IOSR  Journal of   Mathematics,  ISSN:2278-    5728,Vol. 3, Issue 4, (2012), 31-35.

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

    [9] Fatimah, M. Mohammed and Sara, 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.

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

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

    [12] Huda,  F. Khudair and Fatimah, 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.

    [13] Zahraa, A. Khalaf and Fatimah, 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.

    [14] Zahraa, A. Khalaf and Fatimah, M. Mohammed," Weakly Generalized M-Closed and Strongly M-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces”, International Journal of Neutrosophic Science, vol. 21(2), pp. 8-19,2023.

    Cite This Article As :
    Y., Hajar. , M., Fatimah. , Al-mahbashi, Ghada. Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 14-23. DOI: https://doi.org/10.54216/IJNS.240102
    Y., H. M., F. Al-mahbashi, G. (2024). Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science, (), 14-23. DOI: https://doi.org/10.54216/IJNS.240102
    Y., Hajar. M., Fatimah. Al-mahbashi, Ghada. Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science , no. (2024): 14-23. DOI: https://doi.org/10.54216/IJNS.240102
    Y., H. , M., F. , Al-mahbashi, G. (2024) . Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science , () , 14-23 . DOI: https://doi.org/10.54216/IJNS.240102
    Y. H. , M. F. , Al-mahbashi G. [2024]. Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology. International Journal of Neutrosophic Science. (): 14-23. DOI: https://doi.org/10.54216/IJNS.240102
    Y., H. M., F. Al-mahbashi, G. "Some Properties of α^g-Closed Sets in Fuzzy Neutrosophic Topology," International Journal of Neutrosophic Science, vol. , no. , pp. 14-23, 2024. DOI: https://doi.org/10.54216/IJNS.240102

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