基于加权改进节点收缩法的供应链网络节点重要度评估*

针对供应链网络节点重要度评估的意义以及现有节点收缩法在加权网络节点重要度评估中的不足，设计一种赋权方法改进的加权节点收缩法，对供应链节点重要度进行评估。以三角模糊数改进连边权值的确定方法，通过节点自身重要度和邻域节点间关系重要度的加权和衡量节点重要度。通过对比分析说明了改进的方法在解决不同节点重要度相同问题上的优势。以改进的节点收缩法对煤炭供应链中各节点的重要度进行评估，结果表明下水港口在煤炭供应链中的重要度最高，符合客观实际，验证了改进方法在供应链节点重要度评估问题上的准确性与有效性。

Node importance evaluation for supply chain network based on weighted improved node contraction method

Aiming at the significance of node importance evaluation and insufficient of existing node contraction method in node importance evaluation of complex networks, this paper proposed an weighted improved node contraction method for supply chain network. Through the improvement of weight determination method using triangular fuzzy number, it evaluated the node importance by the node itself and its neighborhood relations. Based on the analysis of comparative importance, it illustrated the advantage of the improved method in solving the problem that different nodes have the same importance . By the improved method, it evaluated the node importance of coal supply chain. The results show that sea port has the highest importance in the supply chain which are in conformity with the practical situation and have demonstrated the accuracy and efficiency of the proposed method.