The Fractal Approach as a Method for Strategic Regulation of the Educational and Economic Ecosystem of a Digital University
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In the current conditions of digitalization, structural transformations of the global labor market, and increased requirements for the adaptability of educational systems, there is a need to revise traditional approaches to regulating the training processes within university education. The article is devoted to the substantiation of the fractal approach as an effective method of strategic management of the educational and economic ecosystem of a digital university. A scientific model is proposed that considers the recursive, self-similar, multilevel, and dynamic nature of the digital educational environment and allows for ensuring the adaptability of educational structures to the challenges of the digital economy. The methodological foundations for the transformation of university education in the digital age are revealed, in particular in terms of building integrated quality indicators based on normalized indicators and principal components. The necessity of using multidimensional data, indices, expert opinions, ratings, and time series to analyze and predict the efficiency of digital university subsystems is substantiated. Mathematical formalizations are proposed that allow for the evaluation of fractal structures of the educational system at different hierarchical levels and the derivation of generalized integral performance indicators. Particular attention is paid to the use of artificial intelligence technologies, precedent modeling, and knowledge-based approaches in management decision-making. The article proves that a digital university is not only an educational organization, but also a complex socio-technical fractal system capable of self-organization, self-development, and flexible functioning under conditions of uncertainty. It is noted that the fractal approach allows for aligning strategic development goals with tactical and operational management actions at different levels of management. The approaches to modeling the educational and economic ecosystem of a digital university proposed by the author open up new prospects for forecasting the development of intellectual capital, optimizing management processes, and ensuring the sustainability of the educational system in the digital environment.