Universal approximation of typical fuzzy systems with generalized linear membership function
具有广义线性隶属函数的典型模糊系统的通用逼近性

This paper designed a kind of membership function named generalized linear membership function, and triangle and trapezoid shaped membership function were as its special cases. Deduced the analytical structure of the Mamdani fuzzy system whose input sets were with generalized linear membership function and manifested that the output of the fuzzy systems were monotonical, decreasing, continuous and bounded. On the basis of the analytical structure, it was proven that the fuzzy system could approximate any real continuous function. Finally, gave some simulations to manifest the effect of the design.