In fact, the resulting evolution image represents a fuzzy set that will be analysed to determine the final shapes and positions of regions on the predicted map.

Fuzzy sets can also be defined by means of their families of -level sets, according to the resolution identity theorem. Given a fuzzy set S, its -level sets , are given by the following equation:

The fuzzy subset obtained can then be decomposed by means of its -level sets in order to obtain the resulting map. We have done successive applications of this discrete approximation ( -cuts) to the coefficients of evolution image in such a way that the final surface reaches the predicted surface.

The result is a crisp set containing all the pixels whose membership degrees are greater than or equal the specified value of . This crisp set will be the final image predicted to the date provided by the user.