The paper developed a normal quartic polynomial partition of fuzzy domain and established the standard fuzzy system with partition of normal quadratic polynomial membership functions to improve approximation precision of fuzzy system and extend the fuzzy basic functions. Based on above standard fuzzy system, approximation error formula were discussed by interpolation theory. A first order and approximative second universal approximation error bounds from SISO to MISO were given and their relations were founded. The paper employed error remainder term and auxiliary function in proving process while the used conditions and relative problems of these formula were pointed out in fuzzy systems theory and actual application.
NETL
NSTL
维普
万方数据
