An analysis of type-1 and type-2 fuzzy logic systems

This document introduces the concept of type-2 fuzzy sets and compares the type-2 fuzzy set preliminaries with the ordinary type-1 fuzzy set. Two theorems are proved: the first one helps to generate the general form of the type-2 operations, the second provides an approach to transfer the type-1 fuzzy uncertainties to the type-2 system.