Existence and Uniqueness of Fuzzy Solutions for the nonlinear Fuzzy Integro-Differential Equation on EnN

In this paper we study the existence and uniqueness of fuzzy solutions for the nonlinear fuzzy integro-differential equations on Eⁿ N by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in Rⁿ. Eⁿ N be the set of all fuzzy numbers in Rⁿ with edges having bases parallel to axis X₁, X₂,…,X n .