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

Maretta

doi:https://doi.org/10.54216/GJMSA.0110203

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Volume 11 • Issue 2 • PP: 22-27 • 2024

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

Maretta Sarkis ^1*

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¹Abu Dhabi University, Abu Dhabi, UAE

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.0110203

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

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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

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[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.

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Sarkis, Maretta. "On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, 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, Volume 11(Issue 2), 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 Volume 11, no. Issue 2 (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, Volume 11(Issue 2), pp. 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. 2024;Volume 11(Issue 2):22-27. DOI: https://doi.org/10.54216/GJMSA.0110203

M. Sarkis, "On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 11, no. Issue 2, pp. 22-27, 2024. DOI: https://doi.org/10.54216/GJMSA.0110203

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