Abstract
Our aim in this paper is to study a three-order fuzzy difference equation. Firstly, the fuzzy set theory is used to transform the fuzzy difference equation into the corresponding ordinary difference equations with parameters α, α ∊ (0,1]. And then, the existence and uniqueness for the solution to the ordinary difference equations are obtained by the iteration method, the inequality technique and the mathematical induction. Finally, the existence and uniqueness for the solution of the fuzzy difference equation is proved.
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