Constructing a fuzzy model from wavelet transforms

Abstract

An approach using wavelet transforms to construct a fuzzy model is proposed. This paper shows that a fuzzy inference system with some minor restrictions and modifications can function as a discrete wavelet transform. In the proposed fuzzy inference system, each fuzzy rule is analogous to a wavelet basis function multiplied by a coefficient. Due to the functional equivalence between wavelet transforms and fuzzy inference systems, the fuzzy inference system can share the advantages of wavelet transforms.