Fuzzy set, fuzzy rule base, fuzzy transform, fuzzy approximation

A new fundamental idea of expressing expert knowledge in a form fuzzy rules base (FRB for short) has been brought to the control theory. However, for some processes an expert knowledge acquisition is not a trivial task although there exist experts able to control such processes. In that cases, a data-driven approach of a construction of an FRB is used. This sometimes leads to such control techniques which in fact use fragments of the fuzzy set theory but on the other hand they controvert the incompatibility principle which was surely one of the main Zadeh's motivation for his inventions.

A new fundamental idea of expressing expert knowledge in a form fuzzy rules base (FRB for short) has been brought to the control theory. However, for some processes an expert knowledge acquisition is not a trivial task although there exist experts able to control such processes. In that cases, a data-driven approach of a construction of an FRB is used. This sometimes leads to such control techniques which in fact use fragments of the fuzzy set theory but on the other hand they controvert the incompatibility principle which was surely one of the main Zadeh's motivation for his inventions.