Application of formal concept analysis for intellectual decision support

The development of smart assistants in the information systems area has led to the increased interest of the scientific to artificial intelligence methods. This article focused on the study of modern directions of intellectual support of decision-making by using the method of algebraic lattice theory that is formal concept analysis (FCA). Most scientists apply this approach for a solution to a wide range of tasks in an artificial intelligence area. In this article, we have learned modern researchers used FCA for classification, recommendations, ontology, information retrieval, and feature selection. For each category of problems were analyzed the advantages of lattice theory in FCA case, also was described the solution of problems the possibilities of the FCA method. On the result, was defined the main advantages of the FCA method which were applied for the development of the author's theory of intellectual support of operational analytical processing of heterogeneous data on the basis of integral OLAP-model.