Power series of fuzzy numbers with cross product and applications to fuzzy differential equations.

In a recent paper ([2]) the authors introduced and studied the main properties of the cross product of fuzzy numbers. The aim of this paper is to study power series with the cross product. The properties of convergence and the expected value of fuzzy power series are mainly approached. As an important application, a solution of the fuzzy differential equation ý(x) = a⊙(x)⊕b(x), where a is a strict positive fuzzy number and b is a continuous fuzzy number valued mapping, is given. [ABSTRACT FROM AUTHOR]