On Approaching Precisions of Standard Fuzzy Systems with Different Basic Functions
关于具有不同基函数的标准模糊系统逼近问题的研究

The paper establishes the standard fuzzy systems with partition of normal quadratic polynomial membership func- tions and normal trigonometric membership functions.The comparison problems of fuzzy system with normal triangle mem- bership functions and the two fuzzy systems are put forward. Based on above standard fuzzy systems,approximation error bounds are discussed by interpolation theory.Universal approx- imation error bounds of these fuzzy systems from SISO to MISO are given and their relations are established.The paper employs error remainder term and auxiliary function in the proving pro- cess for the first time.Moreover,advantages and shortcomings of these fuzzy systems are compared and correlative conclusions are obtained.At last,computing examples are given and the validity of the conclusions is confirmed.