The Chaotic Presystem’s Digital Management

Recently, there has been an increasing interest in describing chaotic systems and processes that affect almost all spheres of both the world around us and the spheres of functioning of society. The current digital transformation of the functioning of society opens up broad opportunities in this direction. The article deals with issues: The new concept of a presystem is introduced. As a practice application of this notion chaotic presystem models are considered, for example, such as Chaotic logic. The expressive possibilities of chaotic logic are considered. The notion of a quasi—fractal chaotic logic to show the impossibility of controlling chaos from the standpoint of quasi-fractal logic due to the presence of holes in chaotic logic from the standpoint of non—deterministic chaos. To investigate presystem conditional groups’ probability function and conditional digitalization function are introduced. Conditional groups’ function of digitalization can be used to clarify the qualitative side of the forecast and its connection with the quantitative characteristics. The definition of a measurement error, connected with conditional digitalization function is given. As a practice application of this notion the explanation of possible causes of forecasting errors in smart systems/in smart university ranking systems, in financial—economic systems can be got. Also, the following results are presented: The existence an element in a chaotic closed associative presystem at which any connections are impossible to set. The existence a level in a chaotic closed associative quasi-fractal presystem at which connections are impossible to set.