Numerical Solutio of Inverse Problem of Fuzzy Modeling with Pseudo First Order Approzimation

  • Ikoma, Norikazu (Dept. of Systems Control Engineering, College of Engineering, HOSEI Univ) ;
  • Hirota, Kaoru (Statistical Science, The Graduate Univ. for Advanced Studies)
  • Published : 1993.06.01

Abstract

Numerical solution of inverse problem of Takagi-Sugeno fuzzy model is proposed. The method is located on the application of numerical optimization to the fuzzy model. Steepest descent method is used for the numerical optimization. We use the linear approximation of fuzzy model, called pseudo first order approximation, by fixing the membership value on the neighborhood of the corresponding input. It is introduced in order to reduce the difficulty of optimization process. The efficiency of this method is shown by a numerical experiment.

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