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Development of a Mathematical Model for Decision Support Systems in Social Structures Based on the Formation of Assessments of the Competitiveness of the Regions of the Russian Federation

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Society 5.0: Human-Centered Society Challenges and Solutions

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 416))

Abstract

The problem of constructing a mathematical model for assessing the competitiveness of the regions of the Russian Federation has been formulated and solved. For this, a structuring method based on hierarchical trees is proposed. Their leaves are statistical indicators of socio-economic activity according to official data. These indicators are combined using integral characteristics. An example of the analysis of networks of socio-economic indicators based on the construction of minimum sections of the Kolmogorov-Chapman equations for the “Innovation” indicator is given. To describe the leaf vertices of the indicator trees, it is proposed to use status functions that represent complex-valued functions. The proposed mathematical model represents a system of integrodifferential equations, including the status function for the integral indicator of the competitiveness of the region, functions for each of the integral indicators, polynomials that are obtained as a result of interpolation of statistical data, and management influences. The analysis of the obtained graphs of the normalized values of several static indicators, the assessment of trends is given. The possibility of using numerical methods of nonlinear dynamics based on status functions to take into account the cross-section and mutual influence of the parameters of the risks of competitiveness of the regions of the Russian Federation for use in decision support systems in cyber-physical systems is shown.

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Acknowledgements

This research was partially supported by the Russian Fund of Basic Research (grant No. 20-010-00465).

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Authors and Affiliations

  1. Saratov National Research University Named after N.G. Chernyshevsky, 83, Astrakhanskaya Street, Saratov, 410012, Russia

    Alexander A. Bolshakov

  2. Peter the Great St. Petersburg Polytechnic University, 29, Polytechnicheskaya, St. Petersburg, 195251, Russia

    Irina Veshneva

Authors
  1. Irina Veshneva
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  2. Alexander A. Bolshakov
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Editors and Affiliations

  1. Volgograd State Technical University, Volgograd, Russia

    Alla G. Kravets

  2. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    Alexander A. Bolshakov

  3. Volgograd State Technical University, Volgograd, Russia

    Maxim Shcherbakov

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Veshneva, I., Bolshakov, A.A. (2022). Development of a Mathematical Model for Decision Support Systems in Social Structures Based on the Formation of Assessments of the Competitiveness of the Regions of the Russian Federation. In: Kravets, A.G., Bolshakov, A.A., Shcherbakov, M. (eds) Society 5.0: Human-Centered Society Challenges and Solutions. Studies in Systems, Decision and Control, vol 416. Springer, Cham. https://doi.org/10.1007/978-3-030-95112-2_12

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  • DOI: https://doi.org/10.1007/978-3-030-95112-2_12

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