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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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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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© 2026 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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 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-Fr&eacute chet space SG-Hausdorff space FG-point FG-Fr&eacute chet space FG-Hausdorff space &nbsp NSG- sets

References

[1]    H. Aktas and F. Ozlu, "Cyclic Soft Groups and Their Applications on Groups," The Scientific World Journal, 2014.

 

[2]    L. Aygun and H. Aygun, "Introduction to fuzzy soft groups," Computers & Mathematics with Applications, vol. 58, no. 6, pp. 1279–1286, 2009.

 

[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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