Numerical methods for fuzzy initial value problems under different types of interpretation: A comparison study

Abstract

In this paper, we present the solution of fuzzy initial value problem of the form X′(t) = f(t,X(t)), X(t 0) = X 0, where X 0 is a symmetric triangular fuzzy interval. In the first part, we review the existing analytical methods for solving such problem under different types of interpretation. We then provide detailed numerical procedures based on the different interpretations given in the first part. Finally, we give a property and establish some results on relationship between the existing numerical methods under different types of interpretation. © 2011 Springer-Verlag.