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New Technique for Initialization of Centres in TSK Clustering-Based Fuzzy Systems

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Book cover Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2005)

Abstract

Several methodologies for function approximation using TSK systems make use of clustering techniques to place the rules in the input space. Nevertheless classical clustering algorithms are more related to unsupervised learning and thus the output of the training data is not taken into account or, simply the characteristics of the function approximation problem are not considered. In this paper we propose a new approach for the initialization of centres in clustering-based TSK systems for function approximation that takes into account the expected output error distribution in the input space to place the fuzzy system rule centres. The convenience of proposed the algorithm comparing to other input clustering and input/output clustering techniques is shown through a significant example.

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References

  1. González, J., Rojas, I., Pomares, H., Ortega, J., Prieto, A.: A new Clustering Technique for Function Aproximation. IEEE Transactions on Neural Networks 13(1), 132–142 (2002)

    Article  Google Scholar 

  2. Uykan, Z., Gzelis, C., Celebei, M.E., Koivo, H.N.: Analysis of Input-Output Clustering for Determining Centers of RBFN. IEEE Transactions on Neural Networks 11(4), 851–858 (2000)

    Article  Google Scholar 

  3. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, Nueva York (1981)

    MATH  Google Scholar 

  4. Kasabov, N., Song, Q.: DENFIS: Dynamic Evolving Neural-Fuzzy Inference System and Its Application for Time-Series Prediction. IEEE Transactions on Fuzzy Systems 10(2), 144–154 (2002)

    Article  Google Scholar 

  5. Pomares, H., Rojas, I., Ortega, J., Prieto, A.: A systematic approach to a self-generating fuzzy rule-table for function approximation. IEEE Trans. Syst., Man, Cybern. 30, 431–447 (2000)

    Article  Google Scholar 

  6. Babuska, R.: Fuzzy modelling for control. Kluwer Academic, Dordrecht (1998)

    Google Scholar 

  7. Russo, M., Patane, G.: Improving the LBG Algorithm. LNCS, vol. 1606, pp. 621–630. Springer, New York (1999)

    Google Scholar 

  8. Moody, J., Darken, C.J.: Fast learning in networks of locally-tuned processing units. Neural Computation 1(2), 281–294 (1989)

    Article  Google Scholar 

  9. More, J.J.: The Levenberg-Marquardt algorithm implementation and theory. Lecture Notes in Mathemattcs, vol. 630, pp. 105–116 (1978)

    Google Scholar 

  10. Duda, R.O., Hart, P.E.: Pattern Classification and Scene Analysis. Wiley, New York (1973)

    MATH  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Herrera, L.J., Pomares, H., Rojas, I., Guillén, A., González, J. (2005). New Technique for Initialization of Centres in TSK Clustering-Based Fuzzy Systems. In: Godo, L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2005. Lecture Notes in Computer Science(), vol 3571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11518655_82

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  • DOI: https://doi.org/10.1007/11518655_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-27326-4

  • Online ISBN: 978-3-540-31888-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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