Recently, much attention has been paid to research on management systems. Modeling the mathematical learning process of these systems often includes the consideration of adaptation as a configuration component of the overall modeling process. This is reflected in the development of standards for system operation and is specified in terms of compatibility, such as in-game models and multidisciplinary process models. This article is devoted to review, synthesize, and analyze the current methods to promote the management process and develop new features and concepts for fixing the shortcomings of current modeling methods that take into account modern standards.
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