一种模糊小波网络逼近性分析(英文)

An Approximation Capability Analysis of a Fuzzy Wavelet Network

基于多分辨率分析,本文研究了一种模糊小波网络。以B样条函数作为模糊小波网络的隶属函数,使其具有紧支撑和多分辨率特性,同时在理论上分析系统的逼近性,证明了函数集在范数空间中是稠密的和具有一致逼近能力。最后通过实验验证了其有效性。

A fuzzy wavelet network based on multi-resolution analysis was researched. B-spline function was utilized as membership function to make use of their compact supporting and multi-resolution characteristics. The approximation property of the system was analyzed theoretically. The results show that the function set is dense in norm space with universal approximation property. Some experimental results are provided here to demonstrate the effectiveness.