Abstract According to three decision-making criterias, the inventory problem under trade credit in fuzzy random environment is analyzed in this paper, then a hybrid intelligent algorithm by integrating fuzzy random simulation, neural network and genetic algorithm is designed to solve these fuzzy random models. At last, the validity of these models and algorithm is proved by three examples. The empirical research shows: (1) These inventory models can offer decision makers scientific and feasible methods; (2) The proposed hybrid intelligent algorithm can solve uncertain programming models effectively; (3) The computational results show that longer trade credit, in general, may increase the replenishment period and reduce the supply chain’s total cost.