Abstract: First the similar function of iterated function system (IFS) affine transformation is constructed,and the n the optimum path with restricted conditions in the IFS fuzzy similar graph is searched.Using the path that maximized the membership function in the IFS fuzzy set,we can establish the feature correspondence between two iterated function systems.Experiments on morphing of two-dimensional fractal attractors with interpolation show that the adaptive fuzzy correspondence algorithm is simple and effective offering a new flexible method in fractal morphing technique.