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Learning Control of Multimodal Systems by Fuzzy Automata

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Pattern Recognition and Machine Learning

Abstract

The random search method is well known as an optimization technique by which a global search of multimodal systems can be executed, but its convergence characteristics are not good. In order to improve the convergence characteristics of the random search method, an idea of the modification of the search probability may be used. There is the method of learning control using stochastic automata [1] as a method based on this idea. The proposed method of learning control using fuzzy automata in which the membership function [2] is used instead of the probability is more simple in the learning algorithm and able to realize more clear self-organizing operation as compared with that using stochastic automata.

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References

  1. G. J. McMurtry and K. S. Fu, “A Variable Structure Automaton Used as a Multimodal Searching Technique,” IEEE Trans. on Automatic Control, Vol. AC-11, No. 3, July 1966, pp. 379–387.

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  2. L. A. Zadeh, “Fuzzy Sets,” Information and Control, Vol. 8, No. 3, June 1965, pp. 338–353.

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  3. W. G. Wee and K. S. Fu, “A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems,” IEEE Trans. on Systems Science and Cybernetics, Vol. SSC-5, No. 3, July 1969, pp. 215–223.

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  4. H. Hirai, K. Asai and S. Kitajima, “Fuzzy Automaton and Its Application to Learning Control Systems,” Memoirs of the Faculty of Engrg., Osaka City Univ., Vol. 10, Dec. 1968, pp. 67–73.

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  5. K. Asai and S. Kitajima, “A Method for Optimizing Control of Multimodal Systems Using Fuzzy Automata,” Information Sciences, Vol. 3, No. 1, 1971, PP. 1–11.

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© 1971 Plenum Press, New York

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Asai, K., Kitajima, S. (1971). Learning Control of Multimodal Systems by Fuzzy Automata. In: Fu, K.S. (eds) Pattern Recognition and Machine Learning. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7566-5_17

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  • DOI: https://doi.org/10.1007/978-1-4615-7566-5_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7568-9

  • Online ISBN: 978-1-4615-7566-5

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