Quasi-fractal Algebraic Systems as Instruments of Knowledge Control

  • Natalia A. SerdyukovaEmail author
  • Vladimir I. Serdyukov
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 188)


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.


Testing Smart system E-learning Probability identification matrix 


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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Natalia A. Serdyukova
    • 1
    Email author
  • Vladimir I. Serdyukov
    • 2
    • 3
  1. 1.Plekhanov Russian University of EconomicsMoscowRussia
  2. 2.Bauman Moscow State Technical UniversityMoscowRussia
  3. 3.Institute of Education Management, Russian Academy of Education of the MoscowMoscowRussia

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