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

Majd Hamid

doi:https://doi.org/10.54216/IJNS.270239

Full Length Article

Volume 27 • Issue 2 • PP: 489-496 • 2026

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

Majd Hamid Mahmood ^1*

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¹Department of Mathematics, Al- Mustansiriyah University, Baghdad, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.270239

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

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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 F_G - 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-Fr&eacute chet space SG-Hausdorff space FG-point FG-Fr&eacute chet space FG-Hausdorff space &nbsp 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.

[6] S. K. Nazmul and S. K. Syamal, "Soft topological soft groups," Mathematical Sciences, 2012.

[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.

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Mahmood, Majd Hamid. "On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, 2026, pp. 489-496. DOI: https://doi.org/10.54216/IJNS.270239

Mahmood, 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, Volume 27(Issue 2), 489-496. DOI: https://doi.org/10.54216/IJNS.270239

Mahmood, Majd Hamid. "On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets." International Journal of Neutrosophic Science Volume 27, no. Issue 2 (2026): 489-496. DOI: https://doi.org/10.54216/IJNS.270239

Mahmood, 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, Volume 27(Issue 2), pp. 489-496. DOI: https://doi.org/10.54216/IJNS.270239

Mahmood M. On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 2):489-496. DOI: https://doi.org/10.54216/IJNS.270239

M. Mahmood, "On SG-Fréchet Space and SG-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, pp. 489-496, 2026. DOI: https://doi.org/10.54216/IJNS.270239

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