Galoitica: Journal of Mathematical Structures and Applications

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Volume 11 , Issue 2 , PP: 22-27, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism

Maretta Sarkis 1 *

  • 1 Abu Dhabi University, Abu Dhabi, UAE - (Sarkismaretta1990@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.0110203

    Received: December 07, 2023 Revised: April 05, 2024 Accepted: July 27, 2024
    Abstract

    In this paper, we study the diagonalization problem of weak fuzzy complex matrices. To solve this problem we build a special algebraic isomorphism between the ring of weak fuzzy complex matrices and the direct product of the classical ring of real-entries matrices with itself, then we use it to solve the diagonalization problem by using the classical diagonalization problem for real matrices with the inverse isomorphism formula. Also, we illustrate many examples to explain the validity of our method.

    Keywords :

    Weak fuzzy complex matrix , Weak fuzzy complex number , Diagonalization , Isomorphism

    References

    [1] Hatip, A. (2023). An introduction to weak fuzzy complex numbers. Galoitica journal of mathematical structures and applications, 3(1), 8–13.

    [2] Alhasan, Y. A., Alfahal, A. M. A., Abdulfatah, R. A., Nordo, G., & Zahra, M. M. A. (2023). On some novel results about weak fuzzy complex matrices. International journal of neutrosophic science, 21(1), 134–141.

    [3] Razouk, L., Mahmoud, S., & Ali, M. (2023). A computer program for the system of weak fuzzy complex numbers and their arithmetic operations using Python. Galoitica: journal of mathematical structures and applications, 8(1), 45–51.

    [4] Alfahal, A., Abobala, M., Alhasan, Y., & Abdulfatah, R. (2023). Generating weak fuzzy complex and anti-weak fuzzy complex integer solutions for pythagoras diophantine equation X2+Y2=Z2. International journal of neutrosophic science, 22(1), 8–14.

    [5] Galarza, F. C., Flores, M. L., Rivero, D. P., & Abobala, M. (2023). On weak fuzzy complex Pythagoras quadruples. International journal of neutrosophic science, 22(2), 108–113.

    [6] Alhasan, Y., Xu, L., Abdulfatah, R., & Alfahal, A. (2023). The geometrical characterization for the solutions of a vectorial equation by using weak fuzzy complex numbers and other generalizations of real numbers. International journal of neutrosophic science (IJNS), 21, 155–159.

    [7] Razouk, L., Mahmoud, S., & Ali, M. (2024). On the foundations of weak fuzzy complex-real functions. Journal of Fuzzy Extension and Applications, 5(1), 116-140. doi: 10.22105/jfea.2024.435955.1369.

    Cite This Article As :
    Sarkis, Maretta. On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2024, pp. 22-27. DOI: https://doi.org/10.54216/GJMSA.0110203
    Sarkis, M. (2024). On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism. Galoitica: Journal of Mathematical Structures and Applications, (), 22-27. DOI: https://doi.org/10.54216/GJMSA.0110203
    Sarkis, Maretta. On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism. Galoitica: Journal of Mathematical Structures and Applications , no. (2024): 22-27. DOI: https://doi.org/10.54216/GJMSA.0110203
    Sarkis, M. (2024) . On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism. Galoitica: Journal of Mathematical Structures and Applications , () , 22-27 . DOI: https://doi.org/10.54216/GJMSA.0110203
    Sarkis M. [2024]. On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism. Galoitica: Journal of Mathematical Structures and Applications. (): 22-27. DOI: https://doi.org/10.54216/GJMSA.0110203
    Sarkis, M. "On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 22-27, 2024. DOI: https://doi.org/10.54216/GJMSA.0110203