A Note on the Evolution of Solutions of a System of Ordinary Differential Equations with Fuzzy Initial Conditions and Fuzzy-Inputs

摘要

In this paper, we investigate the solutions of n-dimensional nonlinear ordinary differential equations with fuzzy initial conditions and fuzzy inputs. In our analysis we employ the tools of levelwise approach and real analysis. We have shown with a complete proof that the solutions of such systems are described by a system of 2n-ordinary differential equations with crisp initial conditions and crisp inputs corresponding to the end points of the alpha cuts of fuzzy states. A numerical example is given to illustrate the results.