A new fuzzy modeling based on input-output pseudo-linearization and Walsh function

We apply input-output pseudo-linearization and Walsh function to improve and implement the proposed fuzzy modeling. For the improvement of fuzzy modeling, we employ the input-output pseudo-linearization to extend its applications. Hence, the proposed method, independent of the operating point, can reduce the number of fuzzy rule in the approximation of a nonlinear system. It turns out that the proposed method is more effective and simpler in the design of the number of rule than conventional linearization that is based on operating point. For the implement of fuzzy modeling, we use Walsh function to approximate each fuzzy rule under the proposed fuzzy system. Therefore, this proposed fuzzy modeling could be realized via some digital logical devices.