A method for solving first order fuzzy differential equation

In this paper, a new approach for solving rst-order fuzzy dierential equation (FDE) with fuzzy initial value under strongly generalized H-dierentiability is considered. The idea of the presented approach is constructed based on the extending 0-cut and 1-cut solution of original FDE. First, under H-dierentiability the solutions of fuzzy dierential equations in 0-cut and 1-cut cases are found and convex combination of them, is considered. Then we choose the initial interval that 0-cut of original problem is positive. The obtained convex combination on this interval is the solution of FDE.