中文摘要：

为使闭环供应链网络成员企业在注重利润最大化的同时，在环境保护方面承担社会责任，实现企业物流活动同环境发展相协调，建立了考虑环境指标的闭环供应链网络多准则决策均衡模型。给出了多层闭环供应链网络各层决策者的多准则优化条件、对应的变分不等式公式以及多准则网络均衡条件。最后，通过算例对不同环境排放权重下均衡模型网络中产品生产量、交易量、交易价格及排放量等相关经济指标均衡结果进行对比分析。

英文摘要：

In order to encourage all the firms in a closed-loop supply chain network to bear social responsibility for environmental protection and achieve the coordination between their logistics activities and the environmental development when they seek profit-maximization, a multi-criteria decision-making equilibrium model for the closed-loop supply chain network is developed. Here, the decision makers in the firms are faced with multiple criteria objectives including the one concerning environment. The optimality conditions {or decision maker in each tier in the supply chain, and the corresponding variational inequality formulations are developed. Furthermore, the network equilibrium condition is identified. The equilibrium values of various economic indicators （e. g. , the amount of products, transaction prices and the emissions generated） are compared and analyzed as well.