Cluster software of automated information system

In the article, we propose a new approach to creating a clustered software structure that provides the greatest protection against gaining an attacker's control over system support for decision-making, as well as high resistance to corruption and burglary. An approach is considered to solve the problem of software information system security by clustering it into modules. The possibility of formal construction of such structures by methods of set theory and category theory is shown. It is proved that the set of modules satisfies all postulates and axioms of category theory, hence is a category. The conditions for the fractal representation of the automated information system from the level of structural modules of the system to the level of microinstructions with the identification of specific objects and morphisms at hierarchy levels are determined.