Approximation of generalized fuzzy system to integrable function

摘要

A generalized fuzzy system by which many fuzzy models inapplication are extended is defined. By the approximation of thegeneralized Takagi-Sugno(T-S) system to the piecewise linear functionwith L_p (u) -norm, it is shown that the generalized T-S system is thuniversal approximator to p-integrable functions. With the givendegree of accuracy, the fuzy rule number needed in the fuzzy rulebase of the system is estimated. Finally some simulation examples aregiven to demonstrate the conclusions