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Part of the book series: Advances in Soft Computing ((AINSC,volume 44))

Abstract

This article presents a new learning methodology based on a hybrid algorithm for interval type-1 non-singleton type-2 TSK fuzzy logic systems (FLS). Using input-output data pairs during the forward pass of the training process, the interval type-1 non-singleton type-2 TSK FLS output is calculated and the consequent parameters are estimated by the recursive least-squares (RLS) method. In the backward pass, the error propagates backward, and the antecedent parameters are estimated by the back-propagation (BP) method. The proposed hybrid methodology was used to construct an interval type-1 non-singleton type-2 TSK fuzzy model capable of approximating the behavior of the steel strip temperature as it is being rolled in an industrial Hot Strip Mill (HSM) and used to predict the transfer bar surface temperature at finishing Scale Breaker (SB) entry zone. Comparative results show the performance of the hybrid learning method (RLS-BP) against the only BP learning.

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References

  1. Mendel, J. M.: Uncertain Rule Based Fuzzy Logic Systems: Introduction and New Directions, Upper Saddle River, NJ, Prentice-Hall, (2001)

    Google Scholar 

  2. Mendez, G., Cavazos, A., Leduc, L., Soto, R.: Hot Strip Mill Temperature Prediction Using Hybrid Learning Interval Singleton Type-2 FLS, Proceedings of the IASTED International Conference on Modeling and Simulation, Palm Springs, February (2003), pp. 380–385

    Google Scholar 

  3. Mendez, G., Cavazos, A., Leduc, L., Soto, R.: Modeling of a Hot Strip Mill Temperature Using Hybrid Learning for Interval Type-1 and Type-2 Non-Singleton Type-2 FLS, Proceedings of the IASTED International Conference on Artificial Intelligence and Applications, Benalmádena, Spain, September (2003), pp. 529–533

    Google Scholar 

  4. Mendez, G., Juarez, I.l: Orthogonal-Back Propagation Hybrid Learning Algorithm for Interval Type-1 Non-Singleton Type-2 Fuzzy Logic Systems, WSEAS Transactions on Systems, Issue 3, Vol. 4, March 2005, ISSN 1109-2777

    Google Scholar 

  5. Mendez, G., Castillo, O.: Interval Type-2 TSK Fuzzy Logic Systems Using Hybrid Learning Algorithm, FUZZ-IEEE 2005 The international Conference on Fuzzy Systems, Reno Nevada, USA, (2005), pp 230–235

    Google Scholar 

  6. Lee, D. Y., Cho, H. S.: Neural Network Approach to the Control of the Plate Width in Hot Plate Mills, International Joint Conference on Neural Networks, (1999), Vol. 5, pp. 3391–3396

    Google Scholar 

  7. Taylor, B. N., Kuyatt, C. E.: Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results, September (1994), NIST Technical Note 1297

    Google Scholar 

  8. Wang, L-X.: Fuzzy Systems are Universal Approximators, Proceedings of the IEEE Conf. On Fuzzy Systems, San Diego, (1992), pp. 1163–1170

    Google Scholar 

  9. Wang, L-X., Mendel, J. M.: Back-Propagation Fuzzy Systems as Nonlinear Dynamic System Identifiers, Proceedings of the IEEE Conf. On Fuzzy Systems, San Diego, CA. March (1992), pp. 1409–1418

    Google Scholar 

  10. Wang, L-X.: Fuzzy Systems are Universal Approximators, Proceedings of the IEEE Conf. On Fuzzy Systems, San Diego, (1992), pp. 1163–1170

    Google Scholar 

  11. Wang, L-X.: A Course in Fuzzy Systems and Control, Upper Saddle River, NJ: Prentice Hall PTR, (1997)

    MATH  Google Scholar 

  12. Liang, Q. J., Mendel, J. M.: Interval type-2 fuzzy logic systems: Theory and design, Trans. Fuzzy Sist., Vol. 8, Oct. (2000), pp. 535–550

    Article  Google Scholar 

  13. Jang, J.-S. R., Sun, C.-T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Upper Saddle River, NJ: Prentice-Hall, (1997)

    Google Scholar 

  14. Jang, J.-S. R., Sun, C.-T.: Neuro-Fuzzy Modeling and Control, The Proceedings of the IEEEE, Vol. 3, Mach (1995), pp. 378–406

    Article  Google Scholar 

  15. GE Models, Users reference, Vol. 1, Roanoke VA, (1993)

    Google Scholar 

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Mendez, G.M., De Los Angeles Hernandez, M. (2007). Interval Type-2 ANFIS. In: Corchado, E., Corchado, J.M., Abraham, A. (eds) Innovations in Hybrid Intelligent Systems. Advances in Soft Computing, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74972-1_10

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  • DOI: https://doi.org/10.1007/978-3-540-74972-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74971-4

  • Online ISBN: 978-3-540-74972-1

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