Fuzzy shortest path problems incorporating interactivity among paths

@article{Okada2004FuzzySP,
  title={Fuzzy shortest path problems incorporating interactivity among paths},
  author={Shinkoh Okada},
  journal={Fuzzy Sets and Systems},
  year={2004},
  volume={142},
  pages={335-357}
}
This paper deals with a shortest path problem on a network in which a fuzzy number, instead of a real number, is assigned to each arc length. Such a problem is “ill-posed” because each arc cannot be identi1ed as being either on the shortest path or not. Therefore, based on the possibility theory, we introduce the concept of “degree of possibility” that an arc is on the shortest path. Every pair of distinct paths from the source node to any other node is implicitly assumed to be noninteractive… CONTINUE READING

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