Affiliations: [a] School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, China
| [b] Departamento de Control Automatico, CINVESTAV-IPN, Mexico City, Mexico
Correspondence:
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Corresponding author. Qiumei Cong, School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, China. E-mail: cong_0828@163.com.
Abstract: Aiming at the problem that fuzzy neural network (FNN) is difficult to be adjusted automatically its structure when there is no the threshold of loss function, as well as the problem that the neuron number of the regularization layer of FNN is adjusted by self-organizing algorithm when the structure of FNN is not stable yet, a structural design strategy of self-organizing recursive FNN based on the Boston matrix (SORFNN-BOSTON) is proposed. Compared with other self-organizing algorithms, the method used in this paper does not need to set the threshold of loss function. In addition to the indicators representing the importance of neurons in most self-organizing algorithms, the change rate is used to represent the change of the parameters of the neural network. The change rate is used to determine when the relevant parameters are stable, which further improves the reliability of the neuron adjustment process. Through the simulation of predicting Mackey-Glass time sequence, the final number of neurons in the hidden layer and the testing error are 6 and 0.110 respectively. Comparisons with other self-organizing algorithms show that the testing error decreased by 76.6% at most and 13.3% at least, which proves the practicability of the method.
Keywords: Boston matrix, self-organizing
algorithm, fuzzy neural network, nonlinear system simulation
