Due to the topical importance of the acts of terror, contemporary safety engineering must, among others, take on issues concerning the necessity of programming potential emergency evacuations concerning different kinds of mass events. These types of gatherings require preparing evacuation management programs in advance in case threatening information appears. These programs, apart from the conventional solutions based on binary logic and classical combinatorics methods, must also take into account the hybrid and fuzzy character of the course of the emergency evacuation accompanying occurrences. The article presents an example of implementing genetic algorithms, which are recognized as anartificial intelligence method. This example concerns the emergency evacuation of supporters in a stadium football match. The proposed method can also be applied in case of other mass events like: public concerts with the participation of show-business stars and rallies and political demonstrations.