1999 Volume 11 Issue 6 Pages 1078-1088
Fuzzy modeling is a process to identify input-output relationship of unknown systems. One of the major problems of the fuzzy modeling is the determination of the number of membership functions for each input. Automatic methods for the allocation of membership functions by generating them one by one have been proposed. Other automatic methods were to search for an appropriate allocation of membership functions by deleting them one after another. This paper presents a new method for the allocation of membership functions by inserting/deleting them in the modeling process. The membership functions are unevenly allocated on the universe of discourse by the proposed method depending on the characteristics of the target system. Experiments are done to compare the proposed method with that only adds membership functions and that only deletes membership functions. The results show that the proposed method obtains more concise models with higher generality than the other methods.
