Approach to formalization of the intelligent information control systems based on the topos theory

Abstract

The approach to formalization of complex organizational and technical systems based on the toposes theory is substantiated. The article presents a review of the literature on the formalization of knowledge. An integrated control system for technical complexes is considered. The description of blocks of intelligent information and control systems based on the toposes theory is developed. An algorithm for formalizing intelligent information and control systems and an example of constructing toposes and functors for the general case are presented. The conclusion is made about the possibility of applying the proposed approach to the formalization of the intelligent information and control systems in the process of formation of their appearance.