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The stabilization problem for a class of continuous switched fuzzy systems is investigated. Based on the multiple Lyapunov functions method either in switched systems or in fuzzy systems, we present a two layers multiple Lyapunov functions approach and give a stability condition for uncontrolled switched fuzzy systems and a stabilization condition for closed-loop switched fuzzy systems under a switching law. Simultaneously, state feedback controllers with the time derivative information of membership functions are designed. A numerical example along with simulation results demonstrates the effectiveness of the proposed approach.