The academic community cannot ignore the growing opportunities offered by artificial intelligence. Especially relevant are developments in this ares against the background of growing challenges and threats arising from the use of the digital environment by actors of psychological warfare - by strategists and tactics of “color revolutions' as well as terrorist and criminal groups. The main objective of the paper is to develop efective instruments to counter the destructive psychological impact on the individual, society, and the state. As a tool in such psychological warfare, the authors see the use of hybrid intellectual systems for decision support bazed on fuzzy cognitive maps, the method of hierarchies, and artificial neural networks. The authors also state for the creation of the mathematical models of decision support in psychological warfare and discuss the need for training based on data mining, obtained from the Internet, using deep learning networks.