International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 27 , Issue 2 , PP: 489-496, 2026 | Cite this article as | XML | Html | PDF | Full Length Article

On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets

Majd Hamid Mahmood 1 *

  • 1 Department of Mathematics, Al- Mustansiriyah University, Baghdad, Iraq - (mgmg227@yahoo.com)
  • Doi: https://doi.org/10.54216/IJNS.270239

    Received: June 28, 2025 Revised: July 28, 2025 Accepted: August 30, 2025
    Abstract

    In this paper, we introduce some concepts : soft group point, soft group set, soft group topology ,define soft group Fréchet space and soft group Hausdorff space in soft group topological spaces, study a relation between FG - topological space and soft group topological space with examples. Finally we introduce a new generalized definition called NSG- sets study the relations between it and the related sets.

    Keywords :

    Soft group set , Soft group topology , Group topology , SG-Fré , chet space , SG-Hausdorff space , FG-point , FG-Fré , chet space , FG-Hausdorff space ,   , NSG- sets

    References

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    [3]    P. K. Maji, "Neutrosophic soft set," Annals of Fuzzy Mathematics and Informatics, vol. 5, no. 1, pp. 157–168, Jan. 2013.

     

    [4]    Muhammad and M. Saqib, "Some contributions to soft groups," Annals of Fuzzy Mathematics and Informatics, vol. 4, no. 1, pp. 177–195, 2012.

     

    [5]    D. Molodtsov, "Soft set theory—First results," Computers & Mathematics with Applications, vol. 37, no. 4-5, pp. 19–31, 1999.

     

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    [7]    S. Ray and S. Goldar, "Soft Set and Soft Group from Classical View Point," Journal of the Indian Mathematical Society, vol. 84, no. 3-4, pp. 273–286, 2017.

    Cite This Article As :
    Hamid, Majd. On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science, vol. , no. , 2026, pp. 489-496. DOI: https://doi.org/10.54216/IJNS.270239
    Hamid, M. (2026). On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science, (), 489-496. DOI: https://doi.org/10.54216/IJNS.270239
    Hamid, Majd. On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science , no. (2026): 489-496. DOI: https://doi.org/10.54216/IJNS.270239
    Hamid, M. (2026) . On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science , () , 489-496 . DOI: https://doi.org/10.54216/IJNS.270239
    Hamid M. [2026]. On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science. (): 489-496. DOI: https://doi.org/10.54216/IJNS.270239
    Hamid, M. "On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets," International Journal of Neutrosophic Science, vol. , no. , pp. 489-496, 2026. DOI: https://doi.org/10.54216/IJNS.270239