Numerical solution of fuzzy differential equations and the dependency problem

摘要

Using fuzzy differential equations is a rational way of modeling a dynamic system under possibilistic uncertainty. In modeling real-world phenomena, fuzzy initial value problems (FIVPs) appear naturally. In this paper, we propose a modified fourth-order Runge–Kutta method to solve FIVPs. The method is adopted to solve the dependency problem in fuzzy computation. The new approach is compared with other established approaches to solve fuzzy initial value problems, and this is shown to be effective.