Abstract
In this study, we introduce and investigate a genetically optimized self-organizing fuzzy polynomial neural network with the aid of information granulation (IG_gSOFPNN), develop a comprehensive design methodology involving mechanisms of genetic optimization. With the aid of the information granulation, we determine the initial location (apexes) of membership functions and initial values of polynomial function being used in the premised and consequence part of the fuzzy rules respectively. The GA-based design procedure being applied at each layer of IG_gSOFPNN leads to the selection of preferred nodes with specific local characteristics (such as the number of input variables, the order of the polynomial, a collection of the specific subset of input variables, and the number of membership function) available within the network.
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Nie, J.H., Lee, T.H.: Rule-based Modeling: Fast construction and optimal manipulation. IEEE Trans. Syst., Man, Cybern. 26, 728–738 (1996)
Ivakhnenko, A.G.: Polynomial Theory of Complex Systems. IEEE Trans. on Systems, Man and Cybernetics SMC-1, 364–378 (1971)
Oh, S.K., Pedrycz, W.: The Design of Self-organizing Polynomial Neural Networks. Information Science 141, 237–258 (2002)
Oh, S.K., Pedrycz, W., Park, B.J.: Polynomial Neural Networks Architecture: Analysis and Design. Computers and Electrical Engineering 29, 703–725 (2003)
Oh, S.K., Pedrycz, W.: Fuzzy Polynomial Neuron-Based Self-Organizing Neural Networks. Int. J. of General Systems 32, 237–250 (2003)
Zadeh, L.A.: Toward a Theory of Fuzzy Information Granulation and Its Centrality in Human Reasoning and Fuzzy Logic. Fuzzy sets and Systems 90, 111–117 (1997)
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)
Jong, D.K.A.: Are Genetic Algorithms Function Optimizers? In: Manner, R., Manderick, B. (eds.) Parallel Problem Solving from Nature 2, North-Holland, Amsterdam (1992)
Vachtsevanos, G., Ramani, V., Hwang, T.W.: Prediction of Gas Turbine NOx Emissions Using Polynomial Neural Network. Technical Report, Georgia Institute of Technology, Atlanta (1995)
Oh, S.K., Pedrycz, W., Park, H.S.: Hybrid Identification in Fuzzy-neural Networks. Fuzzy Sets and Systems 138, 399–426 (2003)
Oh, S.K., Pedrycz, W., Park, H.S.: Multi-FNN Identification by Means of HCM Clustering and Genetic Algorithms. Fuzzy Sets and Systems (2002)
Oh, S.K., Pedrycz, W., Park, H.S.: Multi-FNN Identification Based on HCM Clustering and Evolutionary Fuzzy Granulation. Simulation Modelling Practice and Theory 11, 627–642 (2003)
Oh, S.K., Pedrycz, W., Park, H.S.: Multi-layer Hybrid Fuzzy Polynomial Neural Networks: A Design in the Framework of Computational Intelligence. Neurocomputing (2004)
Park, B.J., Lee, D.Y., Oh, S.K.: Rule-based Fuzzy Polynomial Neural Networks in Modeling Software Process Data. Int. J. of Control, Automations, and Systems. 1, 321–331 (2003)
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© 2005 Springer-Verlag Berlin Heidelberg
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Park, H., Park, D., Oh, S. (2005). Genetically Optimized Self-organizing Fuzzy Polynomial Neural Networks Based on Information Granulation. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_65
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DOI: https://doi.org/10.1007/11427391_65
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25912-1
Online ISBN: 978-3-540-32065-4
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