This paper addresses robust fuzzy mixed LQ-H_∞ control design for nonlinear discrete-time systems in the presence of norm-bounded time-varying uncertainties and state delays. Based on Takagi-Sugeno fuzzy models, the mixed LQ-H_∞ index is introduced to nonlinear systems, which simultaneously guarantees an upper bound of LQ cost and its robustness for unknown external disturbance in the sense of induced H-infinity norm. Applying PDC techniques, the gains of robust state feedback controllers of subsystems are derived by the numerical solution of a set of coupled LMIs, and then the overall LQ-H_∞ controller is constructed by fuzzy blending of the local linear controllers.