Supplier selection and order allocation are major tasks to companies in green supply chain management. Most literatures consider these two tasks as independent sub-problems. In this paper, we propose an integrated two-stage multiple criteria programming approach to solve them systematically. The approach includes both quantitative and qualitative analyses. In the first stage, an MULTIMOORA method based on linguistic Z-Numbers is employed to rank the green suppliers under multiple qualitative criteria (but that is not the final decision). In the second stage, the ranking result is input to a bi-objective non-linear integer programming model. The model then determines the suppliers selected and the quantity of order allocated to them. Furthermore, the model should determine the configuration of the productions because different configuration implies different resource needed. We present the comparative result with other quantitative methods. An illustrative example proves that our proposed model can achieve the desired consistency among objectives.

供应商选择和订单分配是企业在绿色供应链管理中的主要任务。大多数文献将这两个任务视为独立的子问题。在本文中，我们提出了一种集成的两阶段多准则规划方法来系统地解决它们。该方法包括定量和定性分析。在第一阶段，采用基于语言 Z 数的 MULTIMOORA 方法在多个定性标准下对绿色供应商进行排名（但这不是最终决定）。在第二阶段，排序结果被输入到一个双目标非线性整数规划模型。然后模型确定选择的供应商和分配给他们的订单数量。此外，模型应该确定产品的配置，因为不同的配置意味着需要不同的资源。我们提出了与其他定量方法的比较结果。一个说明性的例子证明我们提出的模型可以实现目标之间的预期一致性。