Geodesic
A fuzzy MLP approach for identification of nonlinear systems
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 44-53

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In case of decision making problems, identification of non-linear systems is an important issue. Identification of non-linear systems using a multilayer perceptron (MLP) trained with back propagation becomes much complex with an increase in number of input data, number of layers, number of nodes, and number of iterations in computation. In this paper, an attempt has been made to use fuzzy MLP and its learning algorithm for identification of non-linear system. The fuzzy MLP and its training algorithm which allows to accelerate a process of training, which exceeds in comparing with classical MLP is proposed. Results show a sharp reduction in search for optimal parameters of a neuro fuzzy model as compared to the classical MLP. A training performance comparison has been carried out between MLP and the proposed fuzzy-MLP model. The time and space complexities of the algorithms have been analyzed. It is observed, that number of epochs has sharply reduced and performance increased compared with classical MLP. 
@article{CMFD_2019_65_1_a4,
     author = {A. R. Marakhimov and K. K. Khudaybergenov},
     title = {A fuzzy {MLP} approach for identification of nonlinear systems},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {44--53},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a4/}
}
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A. R. Marakhimov; K. K. Khudaybergenov. A fuzzy MLP approach for identification of nonlinear systems. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 44-53. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a4/