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In this paper a Genetic - Type-2 Fuzzy approach is proposed to optimize the parameters of the Membership Functions (MFs) of a Type-2 Fuzzy Logic System (FLS) applied to control, we design a chromosome to represent the parameters of the MFs of a preestablished Type-2 FLS, design a fitness function and select genetic operators. A case of study is proposed to evaluate the optimization process, this is to achieve the output regulation problem of a servomechanism with backlash. The problem is the design of a type-2 fuzzy logic controller which will be optimized by a GA to obtain the closed-loop system in which the load of the driver is regulated to a desired position. Simulations results illustrate the effectiveness of the optimized closed-loop system.