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 innitely many ordinary differential equations and, by the LU-parametric representation, the innitely many equations can be approximated efciently by anite set of four ODEs. Some examples are included.