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Fuzzy PNN algorithm and its application to nonlinear processes. (English) Zbl 0993.93005

A fuzzy polynomial neural network (PNN) is proposed. The fuzzy PNN is aimed at modelling high order nonlinear systems. The new technique fuses the conventional PNN by replacement of each neuron with fuzzy implication rules. In fact, each node of the PNN is operated as a small fuzzy system. The fuzzy membership of a node is expressed by Gaussian functions obtained by heuristics. The consequence of a node is expressed by constants and by regression polynomials. Optimal values of consequence parameters are selected by a least square method. The numerical simulation of a gas furnace and the \(\text{NO}_x\) emission of a gas turbine power plant shows that the proposed fuzzy PNN technique gives a more accurate prediction than conventional PNN and other methods of fuzzy modelling.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
92B20 Neural networks for/in biological studies, artificial life and related topics
93C42 Fuzzy control/observation systems
93C10 Nonlinear systems in control theory
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