In this paper, the definition adjoint of the operator on fuzzy normed linear spaces is introduced. It is shown that if (X, ) and ( , ) ~ Y are two fuzzy normed linear spaces and T : X Y be a strongly (weakly) fuzzy bounded linear operator, then * * * T :Y X (adjoint of T ) is strongly ( weakly) fuzzy bounded linear operator and * * * T T , for each (0,1].
