Fuzzy Two Point Boundary Value Problem with Linear System

In this manuscript we present two different methods of solving second order linear differential equation that has fuzzy boundary conditions. First, by taking each fuzzy boundary point of the fuzzy boundary value problem (FBVP) as the fuzzy initial point, we will obtain two separate fuzzy initial value problems (FIVPs). Second, we solve each of these FIVPs using the system of differential equations. We provide fuzzy solutions for this system based on an extension of the classical solution via Zadeh's extension principle. We present an example in order to compare the proposed solution.