In this article we establish a relation between the solutions of complex fuzzy differential equations, with complex membership grades, and approximate solutions by applying the properties of level-wise continuity for (ς, ϑ)-level sets. The notion of H-differentiability is generalized for (ς, ϑ)-level sets in the space Results about the existence and uniqueness of the solutions of Cauchy problem for complex fuzzy differential equations are also included.
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