Generalized Parametric Conjunction Operations in Fuzzy Modeling

  • Ildar Batyrshin
Part of the Advances in Soft Computing book series (AINSC, volume 6)


An approach to construct optimal fuzzy models based on an optimization of parameters of generalized conjunction operations is discussed. Several approaches to construct parametric classes of conjunction operations simpler than known parametric classes of T-norms are considered. These approaches are based on elimination of associativity and commutativity properties from definition of conjunction operation. A new simplest generalized parametric conjunction operation is introduced. Different approaches to approximation of real valued function by fuzzy models based on optimization of parameters of membership functions and parameters of operations are compared by numerical examples. It is shown that fuzzy models based on new conjunction operation have better performance than previous ones.


Membership Function Fuzzy Rule Fuzzy Model Parametric Classis Generalize Conjunction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Ildar Batyrshin
    • 1
  1. 1.Kazan State Technological UniversityKazanRepublic of Tatarstan, Russia

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