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To improve the capability of multi-objective differential algorithm, this paper proposed a multi-objective differential evolution algorithm based on self-adaptive strategy(MODE-SS). This algorithm not only used the hyper-volume to evaluate the performance of mutation strategies and selected a suitable mutation strategy automatically, but also employed binomial and simulated binary crossover strategies to balance global and local search capabilities. The results on 10 test functions show that MODE-SS outperforms the other six state-of-the-art multi-objective optimization algorithms. Finally, this paper used MODE-SS to solve the problem of energy consumption optimization of sea-rail intermodal transportation. The results can provide a set of available solutions to decision-makers. [ABSTRACT FROM AUTHOR]