Linguistic fuzzy model identification based on PSO with different length of particles

To generate the structure and parameters of fuzzy rule base automatically, a particle swarm optimization algorithm with different length of particles (DLPPSO) is proposed in the paper. The main finding of the proposed approach is that the structure and parameters of a fuzzy rule base can be generated automatically by the proposed PSO. In this method, the best fitness (fgbest) and the number (Ngbest) of active rules of the best particle in current generation, the best fitness (fpbesti) which ith particle has achieved so far and the number (Npbesti) of active rules of it when the best position emerged are utilized to determine the active rules of ith particle in each generation. To increase the diversity of structure, mutation operator is used to change the number of active rules for particles. Compared with some other PSOs with different length of particles, the algorithm has good adaptive performance. To indicate the effectiveness of the give algorithm, a nonlinear function and two time series are used in the simulation experiments. Simulation results demonstrate that the proposed method can approximate the nonlinear function and forecast the time series efficiently.

Graphical abstractAn example for determining the active fuzzy rules, the graphic shows the procedure of how to determine the dimension of the flying particles.Figure optionsDownload full-size imageDownload as PowerPoint slideHighlights► The structure and parameters of fuzzy rule base can be self-generated. ► The active rule of particles is adaptive modified with the fitness information of swarm. ► The equation is designed to determined the active rules of all particles.