aspg-33-3289-1792222693 20261017073813 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2024 11 2 Maretta Sarkis Abu Dhabi University, Abu Dhabi, UAE 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. 2024 22 27 3289 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.0110203 https://americaspg.com/journal/33/article/3289 https://americaspg.com/storage/81731067282.pdf