Optimization of SIRMs Fuzzy Model Using Łukasiewicz Logic

  • Takashi Mitsuishi
  • Takanori Terashima
  • Yasunari Shidama
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7664)


The purpose of this study is to prove the existence of single input rule modules which minimize the performance functional of the feedback control using SIRMs fuzzy reasoning method. A bounded product (Łukasiewicz t-norm) and a bounded sum (Łukasiewicz t-conorm) are applied to the operations in SIRMs fuzzy reasoning for interpreting “ands” and “ors” respectively.


SIRMs approximate reasoning method Bounded product Bounded sum Calculus of variations 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Takashi Mitsuishi
    • 1
  • Takanori Terashima
    • 2
  • Yasunari Shidama
    • 3
  1. 1.University of Marketing and Distribution SciencesKobeJapan
  2. 2.Center for Green ComputingNagoya Institute of TechnologyNagoyaJapan
  3. 3.Shinshu UniversityNaganoJapan

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