Abstract：In this paper, the characteristics of B-spline basis functions are first introduced, and the universal approximation properties of hierarchical fuzzy systems based on B-spline basis functions are verified, and then, another new proof on approximation property of multiwavelet neural network is given using the equivalence relation between B-spline-basis-function-based fuzzy system(HBFS) and wavelet neural network. All of these provide solid theoretical foundation for HBFS s application.
朱晓铭; 王士同. 层次模糊系统的全局逼近性质及其与多子波神经网络关系研究[J]. 电子与信息学报, 2002, 24(7): 921-928 .
Zhu Xiaoming; Wang Shitong. Universal approximation of hierarchical fuzzy systems and their relationship with multiwavelet neural networks. , 2002, 24(7): 921-928 .
2002, Vol. 24 
