Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 27 , Issue 2 , PP: 341-350, 2026 | Cite this article as | XML | Html | PDF | Full Length Article

On Division of Symbolic n-Plithogenic Numbers

P. Arulpandy 1 , S. Kalaiselvan 2 * , M. Sundar 3 , G. Govindharaj 4 , P. Sugapriya 5

  • 1 Department of Mathematics, Christ University, Bengaluru - 560029, India - (arulpandy.p@christuniversity.in)
  • 2 Department of Mathematics, Bannari Amman Institute of Technology, Erode - 638401, Tamil Nadu, India - (priankalai@gmail.com)
  • 3 Department of Mathematics, Thiagarajar College of Engineering, Madurai - 625015, Tamilnadu, India - (msrmat@tce.edu)
  • 4 Department of Mathematics, M. Kumarasamy College of Engineering, Karur - 639113, Tamilnadu, India - (govindharaj88@gmail.com)
  • 5 Department of Mathematics, K. Ramakrishnan College of Engineering, Trichy - 621112, Tamilnadu, India - (sugapriya.mat10@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.270228

    Received: April 17, 2025 Revised: June 30, 2025 Accepted: August 28, 2025
    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

    [1] Agboola, A. A. A., “On refined neutrosophic algebraic structures”, Neutrosophic Sets and Systems, vol. 10, pp. 99-101, 2015.

     

    [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.

    Cite This Article As :
    Arulpandy, P.. , Kalaiselvan, S.. , Sundar, M.. , Govindharaj, G.. , Sugapriya, P.. On Division of Symbolic n-Plithogenic Numbers. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 341-350, 2026. DOI: https://doi.org/10.54216/IJNS.270228

    Article Statistics

    View
    91
    Download
    30

    Download