Principles for Modeling Information Flows in Open Socio-Economic Systems

Davtian, Aleksandr; Shabalina, Olga; Sadovnikova, Natalia; Берестнева, О. Г.; Parygin, Danila

doi:10.1007/978-3-030-95112-2_14

Cited by 7 publications

(1 citation statement)

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“…Возможны различные подходы для описания математическими методами процессов и явлений, которые происходят в социально-экономических системах [1][2][3][4][5][6][7]. Исторически первым использованы методы теории вероятностей для понимания сущности происходящих явлений и попыток предикативных оценок процессов, для поддержки принятия решений.…”

Section: Introductionunclassified

Analysis of socio-economic systems using quantumlike mathematical models based on status functions. Part II

Veshneva

Большаков

2022

Appl. Math. Control Sci.

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It is proposed to use quantum-like models with the use of status functions for mathematical modeling and subsequent analysis of complex socio-economic systems. The limitations of the methods of classical probability theory and mathematical statistics, as well as the theory of fuzzy sets, algorithms Mamdani, Suzuki and others for solving similar problems are described. A description of the main assumptions that are used in the mathematical modeling of socio-economic objects based on status functions is given. Examples are considered that describe the features of transition paths through intermediate states. An operator for the transition of a socio-economic system to various states, similar to the Hamiltonian, is presented. A spectrum of possible virtual trajectories is introduced to describe transitions to different states. A mathematical model based on status functions is proposed to describe the transition of the system to a measurable state. In the proposed Hamiltonian, the first term represents a subsystem of indica-tors, the second is an analog of the energy of indicators in the information environment. At the same time, terms are distinguished that are analogues of the energies of the system of two controlled indica-tors: interaction, kinetic and potential. The description of the results of mathematical modeling and the analysis of the interaction of two hypothetical indicators of the socio-economic system are given. The indicators are taken from the statistics of innovation indicators of one of the regions of the Russian Federation.

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Section: Introductionunclassified