摘要
A generalized fuzzy system by which many fuzzy models in application are extended is defined. By the approximation of the generalized Takagi-Sugeno(T-S) system to the piecewise linear function with Lp(μ)-norm, it is shown that the generalized T-S system is the universal approximator to p-integrable functions. With the given degree of accuracy, the fuzzy rule number needed in the fuzzy rule base of the system is estimated. Finally some simulation examples are given to demonstrate the conclusions.
A generalized fuzzy system by which many fuzzy models in application are extended is defined. By the approximation of the generalized Takagi-Sugeno(T-S) system to the piecewise linear function with Lp(μ)-norm, it is shown that the generalized T-S system is the universal approximator to p-integrable functions. With the given degree of accuracy, the fuzzy rule number needed in the fuzzy rule base of the system is estimated. Finally some simulation examples are given to demonstrate the conclusions.
