Research on cooperation and control among autonomous vehicles is in the vanguard of the Intelligent Transportation Systems (ITS). Some examples are the intersection maneuvers, Adaptive Cruise Control (ACC), and overtaking, among others. Overtaking requires special attention in dynamic environments, especially when there is a vehicle coming from the other direction on a two-way road. In this paper a decision algorithm, a communication system among three vehicles and a fuzzy logic control, to implement the overtaking maneuver are explained. Different use cases has been considered, they evaluate if to finish or to abort in a safe way the overtaking maneuver. The results show a good performance of the fuzzy control based in human knowledge for high risk maneuvers.