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International Journal of Neutrosophic Science

Volume 25 , Issue 3 , PP: 70-75, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces

Ghassan A. Qahtan 1 * , L. A. A. Jabar 2 , Ihsan M. Rasheed 3 , Reyadh D. Ali 4

  • 1 Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq - (ghassan.k@uokerbala.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq - (l.h.jabar64@gmail.com)
  • 3 Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq - (ihsanmrasheed@uokerbala.edu.iq)
  • 4 Department of Mathematics, College of Education for Pure Science, University of Kerbala, Iraq - (reyadh_delphi@uokerbala.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.250307

    Received: February 12, 2024 Revised: May 12, 2024 Accepted: September 16, 2024
    Abstract

    The research started from Salama's generalization to both ideal and local function through NCSs. We presented some results and properties to reinforce the concept of the generalized local function, which though its properties was used to deduce the properties of the 𝜓Ν𝐶- operator that we generalized through NCSS.

    Keywords :

    NCSs , NCTS , NCI , NCLF , Neutrosophic crisp 𝜓&Nu , 𝐶- operator

    References

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    [2] F-Smarandache, A Unifying Field in Logies, Neutrosophic Logic, Neutrosophy. Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

    [3] Florentine Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA 2002.

    [4] K. Kuratowski, Topology, Warszawa, 1933.

    [5] K. Kuratowski, Topology, Vol. I, New York: Academic Press 1966.

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    [10] Al-Tamimi, T. Al-Swidi. L.A.A., . Al-Obaidi, A. H. M., New Concepts in Partner Multi Neutrosophic Topological space, International Journal of Neutrosophic Science, 2024 ,24(3), PP. 172-178.

    [11] Al-Tamimi. T.A. H., A1. Swidi, L.A.A., Al. Obaidi, A.H.M., Partner sets for Generalizations of Multi Neutrosophic Sets. International Journal of Neutrosophic Sciences 2024 ,24(1), PP. 8-13.

    [12] Tomma, D.N., Al- Swidi, L.A.A., Stable Neutrosophic Crisp Topological Space, International Journal of Neutrosophic Science, 2024, 23(4), PP. 154-159.[13] Tomma, D.N., Al-Swidi, L.A.A., Necessary and Sufficient Conditions for a Stability of the Concepts of Stable Interior and Stable Exterior via Neutrosophic Crisp Sets, International Journal of Neutrosophic Science, 2024, 24(1), PP. 87-93.

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    [15] Al-Nafee, A.B., Broumi, S., Al-Swidi, L.A., n-Valued Refined Neutrosophic Crisp Sets, International Journal of Neutrosophic Science, 2021, 17(2), pp. 87-95.

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    [22] Q. H. Imran, K. S. Tanak and A. H. M. Al-Obaidi, on new concepts of neutrosophic crisp open sets. Journal of Interdisciplinary Mathematics, 25(2)(2022), 563-572.

    [23] Q. H. Imran, A. H. M. Al-Obaidi, F. Smarandache and Md. Hanif PAGE, on some new concepts of weakly neutrosophic crisp separation axioms. Neutrosophic Sets and Systems, 51(2022), 330-343.

    [24] Q. H. Imran, M. M. Abdulkadhim, A. H. M. Al-Obaidi and Said Broumi, Neutrosophic crisp generalized sg-closed sets and their continuity. International Journal of Neutrosophic Science, 20(4) (2023), 106-118.

    [25] M. M. Abdulkadhim, Q. H. Imran, A. H. M. Al-Obaidi and Said Broumi, On neutrosophic crisp generalized alpha generalized closed sets. International Journal of Neutrosophic Science, 19(1) (2022), 107-115.

    Cite This Article As :
    A., Ghassan. , A., L.. , M., Ihsan. , D., Reyadh. On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 70-75. DOI: https://doi.org/10.54216/IJNS.250307
    A., G. A., L. M., I. D., R. (2025). On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces. International Journal of Neutrosophic Science, (), 70-75. DOI: https://doi.org/10.54216/IJNS.250307
    A., Ghassan. A., L.. M., Ihsan. D., Reyadh. On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces. International Journal of Neutrosophic Science , no. (2025): 70-75. DOI: https://doi.org/10.54216/IJNS.250307
    A., G. , A., L. , M., I. , D., R. (2025) . On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces. International Journal of Neutrosophic Science , () , 70-75 . DOI: https://doi.org/10.54216/IJNS.250307
    A. G. , A. L. , M. I. , D. R. [2025]. On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces. International Journal of Neutrosophic Science. (): 70-75. DOI: https://doi.org/10.54216/IJNS.250307
    A., G. A., L. M., I. D., R. "On 𝜓Ν𝐶- Operator in Neutrosophic Crisp Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 70-75, 2025. DOI: https://doi.org/10.54216/IJNS.250307

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