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Efficient Parametric Adjustment of Fuzzy Inference System Using Error Backpropagation Method

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Abstract

This paper presents a new methodology for the adjustment of fuzzy inference systems, which uses technique based on error back-propagation method. The free parameters of the fuzzy inference system, such as its intrinsic parameters of the membership function and the weights of the inference rules, are automatically adjusted. This methodology is interesting, not only for the results presented and obtained through computer simulations, but also for its generality concerning to the kind of fuzzy inference system used. Therefore, this methodology is expandable either to the Mandani architecture or also to that suggested by Takagi-Sugeno. The validation of the presented methodology is accomplished through estimation of time series and by a mathematical modeling problem. More specifically, the Mackey-Glass chaotic time series is used for the validation of the proposed methodology.

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References

  1. Guillaume, S.: Designing Fuzzy Inference Systems from Data: An Interpretability-Oriented Review. IEEE Trans. Fuzzy Systems. 9, 426–443 (2001)

    Article  Google Scholar 

  2. Casillas, J., Cordon, O., del Jesus, M.J., Herrera, F.: Genetic Tuning of Fuzzy Rule Deep Structures Preserving Interpretability and Its Interaction with Fuzzy Rule Set Reduction. IEEE Trans. on Fuzzy Systems 13, 13–29 (2005)

    Article  Google Scholar 

  3. Pal, K., Mudi, R.K., Pal, N.R.: A New Scheme for Fuzzy Rule-Based System Identification and Its Application to Self-Tuning Fuzzy Controllers. IEEE Trans. on Systems, Man and Cybernetics (Part B) 32, 470–482 (2004)

    Article  Google Scholar 

  4. Dai, X., Li, C.K., Rad, A.B.: An Approach to Tune Fuzzy Controllers Based on Reinforcement Learning for Autonomous Vehicle Control. IEEE Trans. on Intelligent Transportation Systems 6, 285–293 (2005)

    Article  Google Scholar 

  5. Tung, W.L., Quek, C.: Falcon: Neural Fuzzy Control and Decision Systems Using FKP and PFKP Clustering Algorithms. IEEE Trans. on Systems, Man and Cybernetics (Part B) 34, 686–695 (2004)

    Article  Google Scholar 

  6. Wan, W., Hirasawa, K., Hu, J., Murata, J.: Relation Between Weight Initialization of Neural Networks and Pruning Algorithms: Case Study on Mackey-Glass Time Series. In: International Joint Conference on Neural Networks, vol. 3, pp. 1750–1755 (2001)

    Google Scholar 

  7. Bertsekas, D.P.: Nonlinear Programming, 2nd edn. Athena Scientific, Belmont (1999)

    MATH  Google Scholar 

  8. Marquardt, D.: An Algorithm for Least Squares Estimation of Nonlinear Parameters. J. Soc. Ind. Appl. Math. 11, 431–441 (1963)

    Article  MathSciNet  MATH  Google Scholar 

  9. Mackey, M.C., Glass, L.: Oscillation and Chaos in Physiological Control Sciences. Science 197, 287–289 (1977)

    Article  Google Scholar 

  10. Ramot, D., Friedman, M., Langholz, G., Kandel, A.: Complex Fuzzy Logic. IEEE Trans. on Fuzzy Sets. 11, 450–461 (2003)

    Article  Google Scholar 

  11. Sugeno, M., Yasukawa, T.: A Fuzzy-logic-based Approach to Qualitative Modeling. IEEE Trans. on Fuzzy Systems 1, 7–31 (1993)

    Article  Google Scholar 

  12. Jang, J.R.: ANFIS - Adaptive-Network-Based Fuzzy Inference System. IEEE Trans. on Systems, Man, and Cybernetics 23, 665–685 (1993)

    Article  Google Scholar 

  13. Mandani, E.H., Assilian, S.: An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller. International Journal of Man-Machine Studies 7, 1–13 (1975)

    Article  MATH  Google Scholar 

  14. Becker, S.: Unsupervised Learning Procedures for Neural Networks. International Journal of Neural Systems 2, 17–33 (1991)

    Article  Google Scholar 

  15. Takagi, T., Sugeno, M.: Fuzzy Identification of System and Its Application to Modeling and Control. IEEE Trans. on Systems, Man, and Cybernetics 15, 116–132 (1985)

    Article  MATH  Google Scholar 

  16. Sugeno, M., Kang, G.T.: Structure Identification of Fuzzy Model. Fuzzy Sets and Systems 28, 15–33 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  17. Panella, M., Gallo, A.S.: An Input-output Clustering Approach to the Synthesis of ANFIS Networks. IEEE Trans. on Fuzzy Systems 13, 69–81 (2005)

    Article  Google Scholar 

  18. Huang, G.-B., Babri, H.A.: Universal Approximation Using Incremental Networks with Random Hidden Computation Nodes. IEEE Trans. on Neural Networks 17, 879–892 (2006)

    Article  Google Scholar 

  19. Li, W., Hori, Y.: An Algorithm for Extracting Fuzzy Rules Based on RBF Neural Network. IEEE Trans. on Industrial Electronics 53, 1269–1276 (2006)

    Article  Google Scholar 

  20. Kamimura, R., Takagi, T., Nakanishi, S.: Improving Generalization Performance by Information Minimization. IEEE World Congress on Computational Intelligence 1, 143–148 (1994)

    Google Scholar 

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da Silva, I., Flauzino, R. (2009). Efficient Parametric Adjustment of Fuzzy Inference System Using Error Backpropagation Method. In: Alippi, C., Polycarpou, M., Panayiotou, C., Ellinas, G. (eds) Artificial Neural Networks – ICANN 2009. ICANN 2009. Lecture Notes in Computer Science, vol 5768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04274-4_83

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  • DOI: https://doi.org/10.1007/978-3-642-04274-4_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04273-7

  • Online ISBN: 978-3-642-04274-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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