Abstract
In this study, we introduce an information granules-based fuzzy systems and a methodological identification by means of genetic optimization to carry out the model identification of complex and nonlinear systems. Information granulation realized with Hard C-Means clustering help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions in the premise part and the initial values of polynomial functions in the consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms and the least square method. The design methodology emerges as a hybrid structural optimization and parametric optimization. Especially, genetic algorithms (GAs) and HCM clustering are used to generate the structurally as well as parametrically optimized fuzzy model. To identify the structure and parameters of fuzzy model we exploit the methodologies of a respective and consecutive identification by means of genetic algorithms. The proposed model is contrasted with the performance of the conventional fuzzy models in the literature.
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Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Tong, R.M.: Synthesis of fuzzy models for industrial processes. Int. J. Gen. Syst. 4, 143–162 (1978)
Pedrycz, W.: An identification algorithm in fuzzy relational system. Fuzzy Sets Syst. 13, 153–167 (1984)
Pedrycz, W.: Numerical and application aspects of fuzzy relational equations. Fuzzy Sets Syst. 11, 1–18 (1983)
Czogola, E., Pedrycz, W.: On identification in fuzzy systems and its applications in control problems. Fuzzy Sets Syst. 6, 73–83 (1981)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst, Cybern. SMC 15(1), 116–132 (1985)
Sugeno, M., Yasukawa, T.: Linguistic modeling based on numerical data. In: IFSA 1991 Brussels, Computer, Management & System Science, pp. 264–267 (1991)
Ismail, M.A.: Soft Clustering Algorithm and Validity of Solutions. In: Gupta, M.M. (ed.) Fuzzy Computing Theory, Hardware and Application, pp. 445–471. North-Holland, Amsterdam (1988)
Oh, S.K., Pedrycz, W.: Identification of fuzzy systems by means of an auto-tuning algorithm and its application to nonlinear systems. Fuzzy Sets and Syst 115(2), 205–230 (2000)
Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Syst. 90, 111–117 (1997)
Pderycz, W., Vukovich, G.: Granular neural networks. Neurocomputing 36, 205–224 (2001)
Krishnaiah, P.R., Kanal, L.N. (eds.): Classification, pattern recognition, and reduction of dimensionality. Handbook of Statistics, vol. 2. North-Holland, Amsterdam (1982)
Golderg, D.E.: Genetic Algorithm in search, Optimization & Machine Learning. Addison-Wesley, Reading (1989)
Tong, R.M.: The evaluation of fuzzy models derived from experimental data. Fuzzy Sets Syst. 13, 1–12 (1980)
Xu, C.W., Zailu, Y.: Fuzzy model identification self-learning for dynamic system. IEEE Trans. on Syst. Man, Cybern. SMC 17(4), 683–689 (1987)
Park, C.S., Oh, S.K., Pedrycz, W.: Fuzzy Identification by means of Auto-Tuning Algorithm and Weighting Factor. In: The Third Asian Fuzzy Systems Symposium (AFSS), pp. 701–706 (1998)
Park, B.J., Pedrycz, W., Oh, S.K.: Identification of Fuzzy Models with the Aid of Evolutionary Data Granulation. IEE Proc.-Control Theory and Applications 148(05), 406–418 (2001)
Park, H.S., Oh, S.K.: Fuzzy Relation-based Fuzzy Neural-Networks Using a Hybrid Identification Algorithm. IJCAS 1(3), 289–300 (2003)
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Oh, SK., Park, KJ., Pedrycz, W. (2006). Methodological Identification of Information Granules-Based Fuzzy Systems by Means of Genetic Optimization. In: Greco, S., et al. Rough Sets and Current Trends in Computing. RSCTC 2006. Lecture Notes in Computer Science(), vol 4259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11908029_49
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DOI: https://doi.org/10.1007/11908029_49
Publisher Name: Springer, Berlin, Heidelberg
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