All real control systems are affected by uncertainties and disturbances. It is common practice to estimate uncertainties by fuzzy logic systems. Fuzzy approximate disturbance decoupling is one of the methods to attenuate the impact of disturbances. The gain inequality of fuzzy approximate disturbance decoupling contains an infinite term, so it has no practical value. Thus, the concept of fuzzy weak disturbance decoupling is proposed. A fuzzy weak disturbance decoupling problem is to find a feedback controller so that the closed-loop system has weak disturbance decoupling performance, that is, the closed-loop system is stable and the norm of the output is not greater than the sum of a positive constant and the product of the norm of the disturbance and a positive constant. Finally, the effectiveness of the proposed method is verified through a numerical example.