Advertisement

Classical Dynamical Systems with Fuzzy Rule-Based Parameters

  • Eduardo Massad
  • Neli Regina Siqueira Ortega
  • Laecio Carvalho de Barros
  • Claudio José Struchiner
Chapter
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 232)

Abstract

Along chapters 8 and 9 we presented several approaches to treat the uncertainties in dynamical systems applied to epidemic problems. We have also discussed the limitations and advantages of those techniques comparing them to each other. While chapter 8 is devoted to dynamical systems based only on fuzzy linguistic rules structure, chapter 9 presents different mathematical ways to apply fuzzy differential equations, considering the uncertainties of variables or parameters of a classical differential equation system, based on the fuzzification of them using fuzzy sets. In the first approach the most important limitation is the explosion of number of rules and dependence of the expert knowledge, which is particularly true in epidemic studies. In contrast, the largest difficulty found in chapter 9 approaches is the complexity of the calculations, particularly if we want to fuzzify more than one parameter. In fact, to analyze the FEV structure considering two or more parameters as fuzzy sets is a really hard task, from the mathematical point of view.

Keywords

Viral Load Membership Function Fuzzy Number Fuzzy Model Uninfected Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Eduardo Massad
    • 1
  • Neli Regina Siqueira Ortega
    • 1
  • Laecio Carvalho de Barros
    • 2
  • Claudio José Struchiner
    • 3
  1. 1.The University of São Paulo, São PauloBrazil
  2. 2.State University of Campinas, CampinasBrazil
  3. 3.PROCC, Rio de JaneiroBrazil

Personalised recommendations