Journal of Neutrosophic and Fuzzy Systems

Journal DOI

https://doi.org/10.54216/JNFS

Submit Your Paper

2771-6449ISSN (Online) 2771-6430ISSN (Print)

Volume 8 , Issue 1 , PP: 39-45, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings

Djamal Lhiani 1 *

  • 1 Department Of Mathematics, University Of Blida 1, Blida, Algeria - (lhanibest13@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.080105

    Received: October 09, 2023 Revised: December 27, 2023 Accepted: January 25, 2024
    Abstract

    Plithogenic algebraic rings are considered novel generalizations of neutrosophic rings. This paper is dedicated to studying and solving many different types of symbolic 2-plithogenic linear algebraic equations where dual, split-complex, and weak fuzzy linear equations of symbolic 2-plithogenic type will be solved and discussed. Also, we illustrate many numerical examples to clarify the validity of our work.

    Keywords :

    symbolic 2-plithogenic ring , weak fuzzy complex number , dual number , split-complex number

    References

    [1] Deckelman, S.; Robson, B. Split-Complex Numbers and Dirac Bra-kets. Communications In Information and Systems 2014, 14, 135-159.

    [2] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of Mathematical Structures and Applications, Vol.3, 2023.

    [3] Khaldi, A., " A Study On Split-Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

    [4] Ahmad, K., " On Some Split-Complex Diophantine Equations", Neoma Journal Of Mathematics and Computer Science, 2023.

    [5] Ali, R., " On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.

    [6] Merkepci, M., and Abobala, M., " On Some Novel Results About Split-Complex Numbers, The Diagonalization Problem And Applications To Public Key Asymmetric Cryptography", Journal of Mathematics, Hindawi, 2023.

    [7] Mohammad Abobala. (2023). A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables. Galoitica: Journal of Mathematical Structures and Applications, 6 ( 2 ), 32-35 (Doi   :  https://doi.org/10.54216/GJMSA.060204).

    [8] Hamiyet Merkepci, Mohammad Abobala. (2023). On the Symbolic 2-Plithogenic Rings. International Journal of Neutrosophic Science, 20 ( 3 ), 115-122 (Doi   :  https://doi.org/10.54216/IJNS.200311).

    [9] Hamiyet Merkepci, Ammar Rawashdeh: On The Symbolic 2-Plithogenic Number Theory and Integers. Neutrosophic Sets and Systems, Vol. 54, 2023, pp. 113-123. DOI: 10.5281/zenodo.7817721.

    [10] Mohamed Soueycatt. On the Symbolic 2-Plithogenic Weak Fuzzy Complex Numbers. Vol. 59, 2023, pp. 287-295. DOI: zenodo.10031252/10.5281

    [11] Oliver Von Shtawzen, Ammar Rawashdeh, Karla Zayood. On the Symbolic 2-Plithogenic Split-Complex Real Square Matrices and Their Algebraic Properties. Vol. 59, 2023, pp. 211-222. DOI: zenodo.10031206/10.5281

    [12]Agboola,  A.A.A.,  Akinola,  A.D.,  and  Oyebola,  O.Y.,  "  Neutrosophic  Rings  I"  ,  International J.Mathcombin, Vol 4,pp 1-14. 2011.

    [13] Sarkis,  M.,  "  On  The  Solutions  Of  Fermat's  Diophantine  Equation  In  3-refined  Neutrosophic  Ring  of Integers", Neoma Journal of Mathematics and Computer Science, 2023. 

    Cite This Article As :
    Lhiani, Djamal. On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2024, pp. 39-45. DOI: https://doi.org/10.54216/JNFS.080105
    Lhiani, D. (2024). On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings. Journal of Neutrosophic and Fuzzy Systems, (), 39-45. DOI: https://doi.org/10.54216/JNFS.080105
    Lhiani, Djamal. On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings. Journal of Neutrosophic and Fuzzy Systems , no. (2024): 39-45. DOI: https://doi.org/10.54216/JNFS.080105
    Lhiani, D. (2024) . On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings. Journal of Neutrosophic and Fuzzy Systems , () , 39-45 . DOI: https://doi.org/10.54216/JNFS.080105
    Lhiani D. [2024]. On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings. Journal of Neutrosophic and Fuzzy Systems. (): 39-45. DOI: https://doi.org/10.54216/JNFS.080105
    Lhiani, D. "On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 39-45, 2024. DOI: https://doi.org/10.54216/JNFS.080105