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Fuzzy-η for Back Propagation Networks

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Computational Intelligence. Theory and Applications (Fuzzy Days 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2206))

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Abstract

The presented algorithm of fuzzy back propagation used in the teaching phase of a neural fuzzy controller combines the best features of two selected soft computing elements: fuzzy logic and the selected structure of artificial neural network. This approach is the expansion of the classical algorithm of back propagation by use of not only binary, but also any values from the range [0…1] in the teaching sequences and the selection of the value of the teaching factor η using the theory of fuzzy sets.

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References

  1. Cybenko G.: Approximation by Superpositions of a Sigmoidal Function. Mathematics of Control, Signals and Systems 2 (1989) 303–314

    Article  MATH  MathSciNet  Google Scholar 

  2. Figueiredo M, Gomide F.: Design of Fuzzy Systems Using Neurofuzzy Networks. IEEE Transactions on Fuzzy Systems 7 (1999) 815–828

    Google Scholar 

  3. Oh S.H., Lee S.Y.: A new Error function at Hidden Layers for Fast Training of Multilayer perceptrons IEEE Transactions on Neural Networks 7 (1999) 960–964

    Google Scholar 

  4. Psaltis D., Sideris A., Yamamura A.: A multilayered neural network controller. IEEE Control System Magazin 4 (1988) 44–48

    Google Scholar 

  5. Rumelhart D., Hinton G., Williams R.: Learning representations by backpropagating errors. Nature 323 (1986) 533–536

    Article  Google Scholar 

  6. Simpson P.: Artificial neural systems. Pergamon Pres, USA (1990)

    Google Scholar 

  7. Song Q, Xiao J., Soh Y.C.: Robust Bacpropagation Training Algorithm for Multilayered Neural Tracking Controller. IEEE Transactions on Fuzzy Systems 8 (1999) 1133–1141

    Google Scholar 

  8. Werbos P.: Neurocontrol and fuzzy logic: connections and designs. Inter. j. of Approximation Reasoning 6 (1992) 185–219

    Article  Google Scholar 

  9. Zadeh L. A.: Fuzzy sets. Information and Control 8 (1965) 338–353

    Article  MATH  MathSciNet  Google Scholar 

  10. Zimmermann H.: Fuzzy Sets Theory and its Applications. Kluwer, Boston, 2nd edition, (1991)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Control Engineering, Technical University of Szczecin, Sikorskiego 37, 70-313, Szczecin, Poland

    Miroslaw Bedzak

Authors
  1. Miroslaw Bedzak
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Editor information

Editors and Affiliations

  1. Computer Science I, University of Dortmund, 44221, Dortmund, Germany

    Bernd Reusch

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© 2001 Springer-Verlag Berlin Heidelberg

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Bedzak, M. (2001). Fuzzy-η for Back Propagation Networks. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4_13

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  • DOI: https://doi.org/10.1007/3-540-45493-4_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

  • eBook Packages: Springer Book Archive

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