Summary: We investigate the design of a non-fragile dynamic output feedback \(H\)-infinity controller with finite word length for fuzzy linear discrete-time systems. It is assumed that this controller is with an interval additive gain variable which reflects the effect of the word length on the numerical execution. The introduction of the fuzzy property increases the complexity of the controller design, and makes the problem m\(H^\infty\) controllerore challenging. To deal with the numerical computation problem, we employ a structural vertex separator, and develop an LMI-based 2-step method for designing the fuzzy non-fragile \(H^\infty\) controller . This design guarantees the asymptotic stability of the closed-loop system with desired \(H^\infty\) control performances. A comparison between the proposed method and the existing method in the design of the fuzzy non-fragile \(H^\infty\) controller is provided, and a numerical example is given to validate the analytical results.