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In this paper, we introduce the fuzzy model of the makespan on a single batch-processing machine with non-identical job sizes and propose an improved DNA evolutionary algorithm (IDEA) solution approach. The model is based on fuzzy batch processing time and fuzzy intervals between batches. DEA is improved by integrating the crossover operator to overcome the immature convergence caused by the determinate selection of vertical operator in DEA. To decode the permutations of jobs searched by IDEA, the heuristic first fit decreasing (FFD) is applied to produce batches. In the experiment, the results of the fuzzy makespan demonstrate the proposed algorithm outperforms GA and SA on all instances.