Domain transformation for fuzzy controllers

Abstract

This paper presents a fuzzy domain transformation to simplify membership functions for both the fuzzification stage as well as for inference. The goal is to minimize the number of computations or components required for a fuzzy controller. This can also be used for hybrid digital/analog or all-analog fuzzy controllers. In the process, the three basic logical operations of the inference engine are redefined in a new, simpler domain without altering the behavior of the fuzzy controller. Graphical examples of the transformation are provided.