Green supply chain management is one of the most important strategies to enhance the competitiveness of modern enterprises. Traditional supplier selection methods seldom consider the entire supply chain. Therefore, this paper proposes an integrated model combining the linguistic entropy weight method (LEWM) with multi-objective programming for supplier selection and order allocation in a circular economy. First, a comprehensive system of green supplier evaluation criteria is established, with each criterion clearly defined. Second, the LEWM is used to select qualified green suppliers, whose rankings are calculated. The proposed LEWM can not only select qualified green suppliers but also analyze each supplier’s performance on each evaluation criterion; it can also provide improvement suggestions for suppliers. Third, based on the characteristics of current global supply chains in the automobile manufacturing industry, the order allocation model is established. The order allocation model constructed in this paper has three objectives: total cost minimization, carbon emission minimization, and procurement value maximization. The weighted maximum and minimum operator method is used to solve the model. Finally, the paper introduces how to use the proposed two-phase model to solve the problem of green supplier selection and order allocation, and conducts sensitivity analysis on the model results. The results show that the proposed framework can effectively resolve green supplier selection and order allocation for an automobile manufacture, and verify the scientific validity of the proposed method. This study could help to improve the relationship between companies and potential suppliers, and to improve green product development capabilities and supply chain management quality, thereby enhancing companies’ market competitiveness.

绿色供应链管理是提高现代企业竞争力的最重要战略之一。传统的供应商选择方法很少考虑整个供应链。因此，本文提出了一种将语言熵权法（LEWM）与多目标规划相结合的集成模型，用于循环经济中的供应商选择和订单分配。首先，建立了一个全面的绿色供应商评估标准体系，并明确定义了每个标准。其次，LEWM用于选择合格的绿色供应商，并对其排名进行计算。拟议的LEWM不仅可以选择合格的绿色供应商，还可以根据每个评估标准分析每个供应商的绩效；它还可以为供应商提供改进建议。第三，根据当前汽车制造业全球供应链的特点，建立了订单分配模型。本文构建的订单分配模型具有三个目标：总成本最小化，碳排放最小化和采购价值最大化。加权最大和最小算子方法用于求解模型。最后，介绍了如何利用提出的两阶段模型解决绿色供应商的选择和订单分配问题，并对模型结果进行敏感性分析。结果表明，所提出的框架可以有效地解决汽车制造商的绿色供应商选择和订单分配问题，并验证了所提出方法的科学有效性。