The paper concentrates on the SUM-MIN bi-criterion path problem in the logistics transportation network. An objective aggregation method based on 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 obtained with the generic aggregation method. Finally, a numerical example shows the solution process of the proposed approach.