Monotone method for fuzzy differential equations

  • Authors:
  • Rosana Rodríguez-López

  • Affiliations:
  • Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

We develop the monotone iterative technique to approximate the extremal solutions for the initial value problem relative to a fuzzy differential equation in a fuzzy functional interval. To our procedure, it is crucial to have at our disposal fuzzy comparison results and several properties of sets of fuzzy functions and fuzzy numbers, including a compactness result in spaces of fuzzy functions, which are useful from the point of view of applications.