This paper proposes a new method for solving the fully fuzzy Sylvester matrix equation
(FFSE). This method is considered as an extension of the solution for the positive fully fuzzy
linear system (FFLS). The fully fuzzy matrix system is converted into an associated linear
matrix system to obtain a crisp solution. This method is able to solve FFLS and left right-fuzzy
linear system (LR-FLS). A numerical example is presented to demonstrate the contributions
of this paper.