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About the Combination of Functional Approaches and Fuzzy Reasoning

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Book cover 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

Learning fuzzy rule-based systems can lead to very useful descriptions of several problems. Many different alternative descriptions can be generated. In many cases, a simple rule base similar to rule bases designed by humans are preferable since it has a higher possibility of being valid in uniforseen cases. Thus, the main idea of this paper is to define a minimal cost function and to generate minimal knowledge bases. Furthermore, this paper shows similarities between the generationof fuzzy systems and the generation of boolean functions on the base of minimal cost functions and it proposes criteria to learn human reasoning fuzzy rules.

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References

  1. S. K. Halgamuge and M. Glesner, “A fuzzy-neural approach for pattern classification with the generation of rules based on supervised learning,” in Neural Networks & their Applications: Proceedings of Neuro-Nimes’ 92, pp. 165–173, 1992.

    Google Scholar 

  2. F. Hoffmann. “Soft computing techniques for the design of the design of mobile robot behaviors,” Information Sciences, vol. 122, no. 2–4, pp. 241–258, 2000.

    Article  MATH  Google Scholar 

  3. M. Krabs and H. Kiendl, “Entwurkskonzept für Fuzzy-Regler mit automatisch generierten Regelsätzen,” VDE-Fachtagung: “Technische Anwendungen von Fuzzy-Systemen”, Dortmund, 1992.

    Google Scholar 

  4. F. Cheong and R. Lai, “Constraining the optimization of a fuzzy logic controller using an enhanced genetic algorithm,” IEEE Transaction on systems, man and cybernetics — part B: Cybernetics., vol. 30, pp. 31–46, February 2000.

    Article  Google Scholar 

  5. L. Castillo, A. Gonzalez, and R. Perez, “Includinga simplicity criterin in the selection of the best rule in a genetic fuzzy learning algorithm,” Fuzzy Sets and Systems, vol. 120, pp. 309–321, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  6. H. Surmann and M. Maniadakis, “Learning feed-forward and recurrent fuzzy systems: a genetic approach,” Journal of Systems Architecture, Special issue on evolutionary computing, vol. 47, no. 7, pp. 535–556, 2001.

    Google Scholar 

  7. O. Cordon, F. Herrera, and M. Lozano, “On the bidirectional integration of genetic algorithms and fuzzy logic,” http://www.bioele.nuee.nagoya-u.ac.jp/wec2/papers/p003.html, 1996.

  8. T. Takagi and M. Sugeno, “Fuzzy identification of systems and its application to modelling and control,” IEEE Transaction System Man and Cyberentic, pp. 116–132, 1985.

    Google Scholar 

  9. S.-T. Song and L.-H. Sheen. “Heuristic fuzzy-neuro network and its application to reactive navigation of a mobile robot,” Fuzzy Sets and Systems, vol. 110, no. 3, pp. 331–340, 2000.

    Article  Google Scholar 

  10. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. Vol. 8, pp. 338–353, 1965.

    Article  MATH  MathSciNet  Google Scholar 

  11. A. Kandell and S. C. Lee, Fuzzy Switching and Automata: Theory and Applications. New York: Crane Russa, 1979.

    Google Scholar 

  12. H. Surmann and A. P. Ungering, “Fuzzyn-rule-based systems on general purpose processors,” IEEE MICRO, Special issue on fuzzy systems, pp. 40–48, Aug. 1995.

    Google Scholar 

  13. L.-X. Wang, “Fuzzy systems are universal approximators,” in First IEEE International Conference on Fuzzy Systems, San Diego, pp. 1163–1170, 8.-12.03.1992.

    Google Scholar 

  14. J. Buckley, “Sugeno Type Controllers are Universal Fuzzy Controller,” Fuzzy Sets and Systems, vol. 53, pp. 299–304, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  15. H. Surmann, Genetic Optimizing of Fuzzy Rule-Based Systems, vol. 8 of Studies in Fuzziness and Soft Computing, ch. Optimization of Fuzzy Controllers, pp. 389–402. Physica-Verlag, Sep. 1996.

    Google Scholar 

  16. A. Gonzalez and R. Perez, “Completeness and consistency conditions for learning fuzzy rules,” Fuzzy Sets and Systems, vol. 96, pp. 37–51, 1988.

    Article  MathSciNet  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Surmann, H. (2001). About the Combination of Functional Approaches and Fuzzy Reasoning. 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_78

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  • DOI: https://doi.org/10.1007/3-540-45493-4_78

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

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