o sedaghatfar - Department of Mathematics, College of Science, Yadegar-e-Imam Khomeini (RAH) Branch, Islamic Azad University, Tehran, Iran

Fuzzy initial value problems (FIVPs) generalize the concept of crisp initial value problems. In this article, we use exponentially-fitted Rung-Kutta (EFRK) method for solving FIVPs, under strongly generalized H-differentiability.TheEFRK method is constructed, which exactly integrates Fuzzy initial value problems whose solutions are linear combinations of function of the formexp⁡(ωx) and exp⁡(-ωx) (ωϵ R or i ϵ R); approach method is compared to an exact solution with some examples

Fuzzy differential equation (FDE); Interval differential equation; Strongly generalized H-differentiability; Exponentially Rung-Kutta method