物流运输网络多目标最短路问题的模糊满意解

本文对物流运输网络多目标最短路问题进行了研究。提出了一种求解多目标最短路问题的目标集成方法和对集成后目标函数求解的扩展标号法。在将多目标转化为单目标时,综合考虑了每个目标的边缘评价和所有目标的整体评价因素,通过对每个目标的权重分配将决策者的偏好充分体现到决策过程中,采用广义的模糊目标集成算子形成了相应的折衷规划模型。最后,通过实例对本文所提方法进行了说明。

Fuzzy Optimal Solutions for Multiobjective Shortest Path Problems in the Logistics Transportation Network

The paper concentrates on the multiobjective shortest path problem in the logistics transportation network. An objective aggregation method with the fuzzy compromise programming technique and an extended label correcting method to solve the aggregated objective are proposed. In the process of aggregating multiple objectives to a single one, the edge evaluation for each objective and the overall evaluation for all the objectives are considered. By assigning the weights to each objective, the decision maker's preference information can be integrated in this aggregation process, and the fuzzy compromise solution can be got with the generic aggregation method. Finally, a numerical example shows the solution process of the proposed approach.