Cognitive map,also called mental map,has recently become a hot spot of research for several years.It is a technique of qualitative reasoning,and seen a computational intelligence,which can be used to solve the self-adapting behaviors based on transcendental knowledge.It sums up the theories of the cognitive map in this text,including classical cognitive map and fuzzy cognitive map.Fuzzy cognitive map is seen as the extended cognitive map.Then it describes the extended model of the fuzzy cognitive map and makes a comparison between the strongpoint and the shortcoming,and then educes the practicability and the superiority.