Theoretical analysis of a new fuzzy model
Pingan Zhang · Journal of Shenzhen Institute of Information Technology · 2006
In this paper,a new fuzzy model for modeling complex systems is presented to overcome the limitation of the general Takagi-sugeno fuzzy models,and theoretical analysis shows 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. This paper gives the theoretical prove process in detail.The feasibility of the proposed fuzzy model is proved hy modeling a complex nonlinear system.It is greatly involved in the Stone-Weierstrass Theorem.