To solve the problems correlated with fuzzy temporal parameter in real manufacture system, based on trapezoidal
fuzzy number, a fuzzy single batch-processing machine with non-identical job sizes(NSBM) model for minimized makespan,
earliness/tardiness penalties and processing cost which has fuzzy processing time and fuzzy due time is introduced in this
paper. Then, aiming at the problems of easily getting into the local optimum of basic particle swarm optimization(PSO)
algorithm, a hybrid PSO algorithm based on chaotic local optimizer is proposed for the fuzzy multi-objective NSBM problem
above. Finally, simulation results show the feasibility and effectiveness of the algorithm.