A fuzzy set theoretic approach to validate simulation models

  • Authors:
  • Jurgen Martens;Ferdi Put;Etienne Kerre

  • Affiliations:
  • Catholic University of Leuven, Leuven, Belgium;Catholic University of Leuven, Leuven, Belgium;Ghent University, Ghent, Belgium

  • Venue:
  • ACM Transactions on Modeling and Computer Simulation (TOMACS)
  • Year:
  • 2006

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Abstract

We develop a new approach to the validation of simulation models by exploiting elements from fuzzy set theory and machine learning. A fuzzy resemblance relation concept is used to set up a mathematical framework for measuring the degree of similarity between the input-output behavior of a simulation model and the corresponding behavior of the real system. A neuro-fuzzy inference algorithm is employed to automatically learn the required resemblance relation from real and simulated data. Ultimately, defuzzification strategies are applied to obtain a coefficient on the unit interval that characterizes the degree of model validity. An example in the airline industry illustrates the practical application of this methodology.