Comparison of Type-Reduction Algorithms for Type-2 Fuzzy Controller

Abstract

As engineering systems evolved and became more complex and nonlinear, there was a need to develop the type-1 fuzzy controller to type-2 fuzzy controller, in which the degrees of membership functions were expressed with fuzzy values. This led to a new stage in the type-2 fuzzy controller, namely, the type-reduction, which is one of the most important stages of the type-2 fuzzy controller. Many articles have been written to study the algorithms used in type-reduction. In this research, the most important type-reduction algorithms were studied, and the results of the type-2 fuzzy controller were compared by using these algorithms to control the position of the cart parking in order to reach the best response, where KM and WM algorithms gave the best results in our study in terms of speed and accuracy.