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Abstract: A recurrent wavelet-based neuro fuzzy network (RWNFN) is proposed in this paper. The proposed RWNFN integrates wavelet transforms with fuzzy rules. Temporal relations are embedded in the network by adding feedback connections from memory units in the third layer of a feedforward wavelet-based neuro fuzzy network (WNFN). The RWNFN augments the basic ability of the WNFN to overcome temporal problems. Moreover, an online learning algorithm is proposed to automatically construct the RWNFN. Computer simulations were conducted to illustrate the performance and applicability of the proposed system. [Copyright &y& Elsevier]

This paper presents a wavelet-based recurrent fuzzy neural network (WRFNN) for prediction and identification of nonlinear dynamic systems. The proposed WRFNN model combines the traditional Thkagi-Sugeno-Kang (TSK) fuzzy model and the wavelet neural networks (WNN). This paper adopts the nonorthogonal and compactly supported functions as wavelet neural network bases. Temporal relations embedded in the network are caused by adding some feedback connections representing the memory units into the second layer of the feedforward wavelet-based fuzzy neural networks (WFNN). An online learning algorithm, which consists of structure learning and parameter learning, is also presented. The structure learning depends on the degree measure to obtain the number of fuzzy rules and wavelet functions. Meanwhile, the parameter learning is based on the gradient descent method for adjusting the shape of the membership function and the connection weights of WNN. Finally, computer simulations have demonstrated that the proposed WRFNN model requires fewer adjustable parameters and obtains a smaller rms error than other methods. [ABSTRACT FROM AUTHOR]