Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/3289 2022 2022 On The Diagonalization Problem of Weak Fuzzy Complex Matrices Based On a Special Isomorphism Abu Dhabi University, Abu Dhabi, UAE Maretta Maretta 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 2024 22 27 10.54216/GJMSA.0110203 https://www.americaspg.com/articleinfo/33/show/3289