An automatic design of fuzzy systems based on L-systems

In this paper, in order to reduce the explosive increase of the search space as the input dimension grows, we present a new representation method for the structure of fuzzy rules, a graph structured fuzzy system. The graph structured fuzzy system can flexibly cope with the increase of the input space by selecting these fuzzy rules that significantly affects the input space among the whole set of fuzzy rules. To obtain the optimal structure and parameters of fuzzy systems, an approach to the automatic design of fuzzy systems based on L-systems is also proposed. The proposed method can efficiently construct fuzzy membership functions and fuzzy rules without an need for user interaction by using the rewriting mechanism of L-systems.