In this paper, a TSK-type fuzzy model (TFM) with a hybrid evolutionary learning algorithm (HELA) is proposed. The proposed HELA method combines the compact genetic algorithm (CGA) and the modified variable-length genetic algorithm (MVGA). Both the number of fuzzy rules and the adjustable parameters in the TFM are designed concurrently using the HELA method. In the proposed HELA method, individuals of the same length constitute the same group, with multiple groups in a population. Moreover, the proposed HELA method adopts the compact genetic algorithm (CGA) to carry out the elite-based reproduction strategy. The CGA represents a population as a probability distribution over the set of solutions and is operationally equivalent to the order-one behavior of the simple GA. The evolution processes of a population consist of three major operations: group reproduction using the compact genetic algorithm, variable two-part individual crossover, and variable two-part mutation. Computer simulations have demonstrated that the proposed HELA method performs better than some existing methods.
['Cheng-Jian Lin', 'Yong-Ji Xu']
Design of Neuro-Fuzzy Systems Using a Hybrid Evolutionary Learning Algorithm *