Minimizing rules of fuzzy logic system by using a systematic approach

The authors investigate the similarity of fuzzy logic systems and binary digital systems and present a novel method to reduce the fuzzy rules based on minimum fuzzy maps. It is desired to minimize the rules to reduce the computation time to make a faster decision. Karnaugh maps have provided systematic methods for simplifying switching functions in logic design of binary digital systems. Based on this idea, the authors present a method to help reduce fuzzy rules. Comparisons are made between systems utilizing reduced rules and original rules to verify the outputs. As a practical example of a nonlinear system, an inverted pendulum is controlled by minimum rules to illustrate the performance and applicability of this proposed method