Fuzzy differential equations and the extension principle

نویسندگان

  • Marina Tuyako Mizukoshi
  • Laécio C. Barros
  • Yurilev Chalco-Cano
  • Heriberto Román-Flores
  • Rodney Carlos Bassanezi
چکیده

We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are the same. We also provide some illustrative examples. 2007 Published by Elsevier Inc.

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عنوان ژورنال:
  • Inf. Sci.

دوره 177  شماره 

صفحات  -

تاریخ انتشار 2007