Fuzzy critical path method based on signed distance ranking of fuzzy numbers

We apply a signed distance ranking method for fuzzy numbers to a critical path method for activity-on-edge (AOE) networks. We use signed distance ranking to define ordering simply, which means we can use both positive and negative values to define ordering. The primary result obtained in the paper is the use of signed distance ranking of fuzzy numbers obtaining Properties 3 and 4. We conclude that the fuzzy AOE network is an extension of the crisp AOE network, and thus the fuzzy critical path in a fuzzy AOE network, under some conditions, is the same as the crisp critical path in a crisp AOE network.