物流运输网络模糊最短路径的偏好解

考虑到物流运输网络中存在的不确定性，针对弧长为模糊数的最短路问题，提出了基于加权函数重心法的模糊数排序方法，根据标号法得到网络中从某一指定节点到其他节点的与偏好信息相一致的最短路。该排序方法提供了决策偏好信息的参数化表示，决策者通过设定极大熵加权函数表示的悲观或乐观水平，就可以得到与目前偏好结构相一致的模糊数排序结果，以及相应的模糊最短路权值和选择方案。计算结果显示，在不同的偏好参数下，决策者得到的最短路方案是不同的，而且计算结果与设定的偏好完全一致。

Preference solution of fuzzy shortest path in logistics transportation networks

Considering the uncertainty of logistics networks, the paper proposed a fuzzy number ranking method of the shortest path based on weighting function centroid method, the arcs were represented by fuzzy numbers, the fuzzy shortest path could be obtained by the label method, which corresponded to preference information. The fuzzy number ranking method provided a parameterized representation method of decision preference information. With the given pessimistic levels expressed by maximum entropy weighting function, the fuzzy numbers ranking results, the fuzzy shortest path and the corresponding alternative project could be gained, which accorded with the preference information. A numerical example shows that the shortest path varies with preference parameter, and it is completely consistent with the given preference. 2 tabs, 1 fig, 14 refs.