Wavelet-based approach to fuzzy modelling
一种基于小波的模糊建模方法

A new fuzzy model for complex systems is presented to overcome the limitation of the general Takagi-Sugeno fuzzy models.Theoretical analysis is given to show that the proposed fuzzy model can represent any continuous function over a compact set.The distinguished feature of the fuzzy model is that the input-output representation of the fuzzy model is the same as that of wavelet transforms of using special mother wavelet function.Based on the property,wavelet transforms can thus be conviently used to determine the proper structure and initial parameters.An algorithm for identifying the proposed fuzzy model is then described in detail.Finally,an example is given to show the feasibility of the proposed fuzzy model by comparing it with existing research.