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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 27 • Issue 2 • PP: 341-350 • 2026

On Division of Symbolic n-Plithogenic Numbers

P. Arulpandy 1*
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,
S. Kalaiselvan 2
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,
M. Sundar 3
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,
G. Govindharaj 4
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,
P. Sugapriya 5
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1Department of Mathematics, Christ University, Bengaluru - 560029, India
2Department of Mathematics, Bannari Amman Institute of Technology, Erode - 638401, Tamil Nadu, India
3Department of Mathematics, Thiagarajar College of Engineering, Madurai - 625015, Tamilnadu, India
4Department of Mathematics, M. Kumarasamy College of Engineering, Karur - 639113, Tamilnadu, India
5Department of Mathematics, K. Ramakrishnan College of Engineering, Trichy - 621112, Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.270228
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Received: April 17, 2025 Revised: June 30, 2025 Accepted: August 28, 2025
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Abstract

The main goal of this article is to study the division of symbolic n-plithogenic numbers using the identification method and n-plithogenic AH-isometry. In particular, we discuss the division of symbolic 2-plithogenic numbers and 3-plithogenic numbers, and we generalize these divisions. Additionally, we prove the validity of the formulas using AH-isometry and provide four worked examples to enhance understanding.

Keywords

Symbolic 2-plithogenic numbers 3-plithogenic numbers Symbolic n-plithogenic numbers Division

References

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[2] Abobala, M., “On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Al-gebraic Equations”, Journal Of Mathematics, Hindawi, 2021.

 

[3] Abobala, M., “On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations”, Mathematical Problems in Engineering, Hindawi, 2021.

 

[4] M. Al-Aidaroos and A. A. Salama, ”An introduction to neutrosophic hypervector spaces,” IEEE Access, vol. 8, pp. 89 345–89 355, 2020.

 

[5] T. K. Roy and S. P. Mondal, ”A novel approach to neutrosophic linear programming problem and its computational algorithm,” IEEE Transactions on Emerging Topics in Computational Intelligence, vol. 6, no. 3, pp. 616–625, Jun. 2022.

 

[6] S. Broumi and F. Smarandache, ”Neutrosophic soft graphs: A new perspective on uncertainty modeling with applications,” International Journal of Cognitive Computing in Engineering, vol. 3, pp. 108–118, 2022.

 

[7] Alhasan, Y. A., Mohamed, M. E. A. M., Ahassan, Q., and Abdulfatah, R. A. “Division of 3-Refined Neu- trosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry”, Neutrosophic Sets and Systems, 80, 507-515, 2025.

 

[8] Basheer, O. A., Hajjari, A., and Dalla, R., “On the symbolic 3-plithogenic rings and their algebraic properties”, Neutrosophic Sets and Systems, 54(1), 2023.

 

[9] I. M. Hanafy, A. M. Hemedia, and M. M. Salama, ”Refined neutrosophic rings: Fundamentals and properties,” Journal of King Saud University - Science, vol. 35, no. 2, Feb. 2023.

 

[10] Smarandache, F., “Introduction to the Symbolic Plithogenic Algebraic Structures (revisited)”, Neutrosophic Sets and Systems, vol. 53, 2023.

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Arulpandy, P., Kalaiselvan, S., Sundar, M., Govindharaj, G., Sugapriya, P.. "On Division of Symbolic n-Plithogenic Numbers." International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, 2026, pp. 341-350. DOI: https://doi.org/10.54216/IJNS.270228
Arulpandy, P., Kalaiselvan, S., Sundar, M., Govindharaj, G., Sugapriya, P. (2026). On Division of Symbolic n-Plithogenic Numbers. International Journal of Neutrosophic Science, Volume 27(Issue 2), 341-350. DOI: https://doi.org/10.54216/IJNS.270228
Arulpandy, P., Kalaiselvan, S., Sundar, M., Govindharaj, G., Sugapriya, P.. "On Division of Symbolic n-Plithogenic Numbers." International Journal of Neutrosophic Science Volume 27, no. Issue 2 (2026): 341-350. DOI: https://doi.org/10.54216/IJNS.270228
Arulpandy, P., Kalaiselvan, S., Sundar, M., Govindharaj, G., Sugapriya, P. (2026) 'On Division of Symbolic n-Plithogenic Numbers', International Journal of Neutrosophic Science, Volume 27(Issue 2), pp. 341-350. DOI: https://doi.org/10.54216/IJNS.270228
Arulpandy P, Kalaiselvan S, Sundar M, Govindharaj G, Sugapriya P. On Division of Symbolic n-Plithogenic Numbers. International Journal of Neutrosophic Science. 2026;Volume 27(Issue 2):341-350. DOI: https://doi.org/10.54216/IJNS.270228
P. Arulpandy, S. Kalaiselvan, M. Sundar, G. Govindharaj, P. Sugapriya, "On Division of Symbolic n-Plithogenic Numbers," International Journal of Neutrosophic Science, vol. Volume 27, no. Issue 2, pp. 341-350, 2026. DOI: https://doi.org/10.54216/IJNS.270228
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