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Weighted Fuzzy Genetic Programming Algorithm for Structure and Parameters Selection of Fuzzy Systems for Nonlinear Modelling

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 521))

Abstract

In this paper a weighted fuzzy genetic programming algorithm for selection of structure and parameters of fuzzy systems for nonlinear modelling is proposed. This method is based on fuzzy genetic programming and innovations in this method concern, among the others, using weights of fuzzy aggregation operators, using weights of fuzzy rules, using fitness function criteria designed for fuzzy genetic programming and using dynamic links between fuzzy rules and fuzzy rules base. The proposed method was tested with use of typical nonlinear modelling problems.

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References

  1. Bosnic, Z., Kononenko, I.: Correction of regression predictions using the secondary learning on the sensitivity analysis outputs. Comput. Inform. 20, 1–17 (2001)

    MathSciNet  Google Scholar 

  2. Box, G., Jenkins, G.: Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco (1970)

    MATH  Google Scholar 

  3. Brooks, T.F., Pope, D.S., Marcolini, A.M.: Airfoil self-noise and prediction. Technical report, NASA RP-1218 (1989)

    Google Scholar 

  4. Carmona, C.J., Ruiz-Rodado, V., del Jesus, M.J., Weber, A., Grootveld, M., González, P., Elizondo, D.: A fuzzy genetic programming-based algorithm for subgroup discovery and the application to one problem of pathogenesis of acute sore throat conditions in humans. Inf. Sci. 298, 180–197 (2015)

    Article  Google Scholar 

  5. Cheng, S., Shi, Y., Qin, Q., Zhang, Q., Bai, R.: Population diversity maintenance in brain storm optimization algorithm. J. Artif. Intell. Soft Comput. Res. 4(2), 83–97 (2014)

    Article  Google Scholar 

  6. Cpałka, K., Łapa, K., Przybył, A., Zalasiński, M.: A new method for designing neuro-fuzzy systems for nonlinear modelling with interpretability aspects. Neurocomputing 135, 203–217 (2014)

    Article  Google Scholar 

  7. Edmonds, A.N., Kershaw, P.S.: Genetic programming of Fuzzy logic production rules with application to financial trading. In: Proceedings of the IEEE World Conference on Computational Intelligence, Orlando, Florida (1994)

    Google Scholar 

  8. Gabryel, M., Woźniak, M., Damaševičius, R.: An application of differential evolution to positioning queueing systems. Lect. Notes Comput. Sci. 9120, 379–390 (2015)

    Article  Google Scholar 

  9. Gacto, M.J., Alcalá, R., Herrera, F.: Interpretability of linguistic fuzzy rule-based systems: an overview of interpretability measures. Inf. Sci. 181(20), 4340–4360 (2011)

    Article  MATH  Google Scholar 

  10. Huang, G.-B., Zhu, Q.-Y., Siew, C.-K.: Extreme learning machine: theory and applications. Neurocomputing 70, 489–501 (2006)

    Article  Google Scholar 

  11. Łapa, K.: Algorithms for extracting interpretable expert knowledge in nonlinear modeling issues. Ph.D. thesis (in polish), Czestochowa University of Technology (2015)

    Google Scholar 

  12. Łapa, K., Cpałka, K., Galushkin, A.I.: A new interpretability criteria for neuro-fuzzy systems for nonlinear classification. Artif. Intell. Soft Comput. Lect. Notes Comput. Sci. 9119, 448–468 (2015)

    Article  Google Scholar 

  13. Łapa, K., Cpałka, K.: On the application of a hybrid genetic-firework algorithm for controllers structure and parameters selection. Adv. Intell. Syst. Comput. 429, 111–123 (2015)

    Google Scholar 

  14. Mendes, R.R.F., Voznika, F.B., Freitas, A.A., Nievola, J.C.: Discovering fuzzy classification rules with genetic programming and co-evolution. In: De Raedt, L., Siebes, A. (eds.) PKDD 2001, LNAI 2168, pp. 314–325 (2001)

    Google Scholar 

  15. Robinson, M.R.: Mersenne and Fermat numbers. Proc. Am. Math. Soc. 5, 842–846 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  16. Motulsky, H.J., Christopoulos, A.: Fitting models to biological data using linear and nonlinear regression. A practical guide to curve fitting. GraphPad Software Inc., San Diego, CA (2003)

    MATH  Google Scholar 

  17. Nallasamy, K., Ratnavelu, K.: Optimal control for stochastic linear quadratic singular Takagi-Sugeno fuzzy delay system using genetic programming. Appl. Soft Comput. 12, 2085–2090 (2012)

    Article  Google Scholar 

  18. Preen, R.J., Bull, L.: Fuzzy dynamical genetic programming in XCSF. In: GECCO’11, July 12–16, 2011, pp. 167–168

    Google Scholar 

  19. Quinlan, J.R.: Learning with continuous classes. In: Adams, A., Sterling, L. (eds.) Proceedings 5th Australian Joint Conference on AI, World Scientific, Singapore (1992)

    Google Scholar 

  20. Rutkowski, L.: Computational Intelligence. Springer (2008)

    Google Scholar 

  21. Stanimirovic, Z., Maric, M., Bozovic, S., Stanojevic, P.: An efficient evolutionary algorithm for locating long-term care facilities. Inf. Technol. Control 41(1), 77–89 (2012)

    Google Scholar 

  22. Sugeno, M., Yasukawa, T.: A fuzzy-logic based approach to qualitative modelling. IEEE Trans. Fuzzy Syst. 1, 7–31 (1993)

    Article  Google Scholar 

  23. Yeh, I.C.: Modeling slump flow of concrete using second–order regressions and artificial neural networks. Cement Concr. Compos. 29(6), 474–480 (2007)

    Article  Google Scholar 

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Acknowledgment

The project was financed by the National Science Centre (Poland) on the basis of the decision number DEC-2012/05/B/ST7/02138.

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Correspondence to Krystian Łapa .

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Łapa, K., Cpałka, K. (2017). Weighted Fuzzy Genetic Programming Algorithm for Structure and Parameters Selection of Fuzzy Systems for Nonlinear Modelling. In: Borzemski, L., Grzech, A., Świątek, J., Wilimowska, Z. (eds) Information Systems Architecture and Technology: Proceedings of 37th International Conference on Information Systems Architecture and Technology – ISAT 2016 – Part I. Advances in Intelligent Systems and Computing, vol 521. Springer, Cham. https://doi.org/10.1007/978-3-319-46583-8_13

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  • DOI: https://doi.org/10.1007/978-3-319-46583-8_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46582-1

  • Online ISBN: 978-3-319-46583-8

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