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Journal of Neutrosophic and Fuzzy Systems

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Online: 2771-6449 Print: 2771-6430
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Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

Volume 8Issue 1PP: 39-45 • 2024

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

Djamal Lhiani 1*
1Department Of Mathematics, University Of Blida 1, Blida, Algeria
* Corresponding Author.
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Open Access & Copyright

© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

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

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[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

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Lhiani, Djamal. "On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 8, no. Issue 1, 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, Volume 8(Issue 1), 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 Volume 8, no. Issue 1 (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, Volume 8(Issue 1), pp. 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. 2024;Volume 8(Issue 1):39-45. DOI: https://doi.org/10.54216/JNFS.080105
D. Lhiani, "On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 8, no. Issue 1, pp. 39-45, 2024. DOI: https://doi.org/10.54216/JNFS.080105
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