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In this work, the sliding mode control (SMC) problem is addressed for the discrete-time interval type-2 fuzzy singularly perturbed systems. A component-based dynamic event-triggering scheme is first proposed to determine the transmission of each measurement component according to the prespecified triggering condition, under which each sensor node will transmit independently its signal to the controller. Meanwhile, the SMC approach is used to design an effective interval-type-2 fuzzy controller by only utilizing the transmitted component signals, and the 𝜀-independent conditions are developed to attain the stability of the closed-loop system and the reachability of the sliding domain. In addition, a framework of the optimization control design is established, where the learning-based iterative optimization algorithm is proposed via reducing the convergence domain around the sliding surface. Finally, the proposed SMC scheme is verified via the simulation results.