Quasi-fractal Algebraic Systems as Instruments of Knowledge Control

Abstract

This paper presents a discussion about two interrelated topics: the definition and use of the probabilistic matrix of system identification in the management and regulation of smart systems, and ways how to refine the models of the functioning of smart systems. The probabilistic identification matrix of the system can be used to study and regulate systems with incomplete statistical data. To solve the second question, the concept of a quasi-fractal algebraic system is introduced, which allows us to look at the problem of forecasting from a different point of view. The concept of an elementary controlled system based on the use of first-order logic methods is also introduced. The level of predictability of the system is established. This paper is of theoretical character. The results obtained in it can be used to regulate learning systems in monitoring the knowledge of students in smart universities and in regulating financial and economic smart systems. In order to achieve these goals, we used the algebraic smart systems’ formalization technique.