Mathematical modeling of social tension

This article analyzes the problems of monitoring and managing the socio-economic situation. Analysis of the socio-economic situation involves the determination of the quantitative characteristics of the dynamic range, the trend of growth, decline or stabilization, the identification of causal factors in specific areas and for various groups. The fuzzy controllability criterion was obtained to solve the problem of forecasting and controlling the socio-economic situation. A new mathematical model and algorithm for solving the task of monitoring and managing the socio-economic situation based on interval mathematics and their software implementation are described. The social effect will be expressed in improving the safety of people's life. As a result, it will be possible to carry out preventive measures in the necessary territories.