Fuzzy Transform for Practical Problems

Fuzzy transform is a method which belongs to fuzzy approximation models. Its fundamentals are studied from different points of view. This approach allows to inherit results from different areas which are closely related to this method. Basically, it is shown to be a powerful approximation tool preserving features typical for fuzzy models. It is an appropriate tool for further numerical methods. Its robustness, computational simplicity, noise removing ability and other properties made possible to successfully applied the method to numerical solution of differential equations or image processing. Finally, the method can significantly influence fuzzy control strategy, especially an identification process. This fact is demonstrated on a real fuzzy control application dealing with an autonomous robot.