Solution of fuzzy differential equations with generalized differentiability using LU-parametric representation

Abstract

The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approxi-mations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of infinitely many ordinary differential equations and, by the LU-parametric representation, the infinitely many equations can be approximated efficiently by a finite set of four ODEs. Some examples are included. © 2011. The authors-Published by Atlantis Press.