International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 24 , Issue 1 , PP: 87-93, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Necessary and Sufficient Conditions for a Stability of the Concepts of Stable Interior and Stable Exterior via Neutrosophic Crisp Sets

Doaa Nihad Tomma 1 * , L. A. A. Al-Swidi 2

  • 1 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (doaa.tuama.pure526@student.uobabylon.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (pure.leal.abd@uobabylon.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.240108

    Received: August 22, 2023 Revised: December 26, 2023 Accepted: March 26, 2024
    Abstract

    The general direction for generating any stable neutrosophic crisp topology is through base or the stable neutrosophic crisp interior concept, which is closed in the finite intersection process and not closed in the union process, likewise the stable neutrosophic crisp exterior is closed in the finite union process but not closed in finite intersection. Our research deals with finding necessary and sufficient condition for the finite union and finite intersection to be closed respectively using the concept of confused crisp sets.

    Keywords :

    Stable Neutrosophic Crisp Topological Spaces , Stable Neutrosophic Crisp Interior Set , Stable Neutrosophic Crisp Exterior Set , Confused Crisp Set.

    References

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    [13]          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.

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    Cite This Article As :
    Nihad, Doaa. , A., L.. 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, vol. , no. , 2024, pp. 87-93. DOI: https://doi.org/10.54216/IJNS.240108
    Nihad, D. A., L. (2024). 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, (), 87-93. DOI: https://doi.org/10.54216/IJNS.240108
    Nihad, Doaa. A., L.. 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 , no. (2024): 87-93. DOI: https://doi.org/10.54216/IJNS.240108
    Nihad, D. , A., L. (2024) . 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 , () , 87-93 . DOI: https://doi.org/10.54216/IJNS.240108
    Nihad D. , A. L. [2024]. 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. (): 87-93. DOI: https://doi.org/10.54216/IJNS.240108
    Nihad, D. A., L. "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, vol. , no. , pp. 87-93, 2024. DOI: https://doi.org/10.54216/IJNS.240108