The paper is devoted to identifying the level of social safety of society, taking into account the indicators of shadow economy, and developing its strategic scenarios as a component of sustainable development of Ukraine by 2030. The authors used the modern methods of normalisation, threshold vector determination, and dynamic weight coefficients in order to identify the level of social safety of society. The authors developed the structure and a list of indicators considering three components of social safety: The standard of living, the demographic component, and the quality of life. This method allows determining the list and severity of threats, comparing the dynamics of integral indices with integral thresholds in one scale, identifying the state of security, and defining strategic goals and strategies. The suggested approach is universal and can be used by any country, region, economic activity, or business to develop evidence-based medium-to-long-term sustainable development scenarios.

There was developed a methodological approach for carrying out an integrated estimation of the sustainable development socioeconomic parameters based on the UN's current information base. The article proposes a methodology and tools for economic and mathematical modelling to estimate the degree of international trade and investment relations development, the degree of life expectancy, the standard of living and prosperity of international entities under the influence of sources of economic growth. Based on the simulation results an analysis of the general status of the 189 world countries according to the sources of economic growth has been carried out. In order to obtain scientifically grounded results, the paper used general scientific and special methods of research, such as: methods of analysis and synthesis, system approach and abstraction, modelling (fuzzy logic model, a method of Saati hierarchies, Mamdani algorithm), quantitative and qualitative comparison methods, a method of theoretical generalization. The approach proposed in this article can be applied when developing the country's national economic development strategy in the direction of achieving sustainable development.

The approaches to modeling competencies have been explored in the article and a model of a strategically oriented approach to the development of management competencies of the company "Industry 4.0" has been built. An algorithmic "fuzzy logic" model to assess the input managers' competencies and obtain a final assessment as a parameter for achieving strategic goals has been formed. A methodology for using the "fuzzy logic" toolkit to assess managers' competencies in obtaining the pair impact assessment, which forms a new level of the comprehensive assessment of managers' work, has been developed.

Despite the fact that a comprehensive analysis of digitalization processes in the EU member states has been carried out, the impact of a country’s digitalization level on the risks of poverty and social exclusion requires further investigation. The purpose of the paper is to verify a hypothesis that a higher level of national digitalization provides positive trends in reducing the risks of poverty and social exclusion for the population. The Digital Economy and Society Index (DESI) was used to evaluate the digitalization levels of the EU countries. The indicator “People at risk of poverty or social exclusion” (AROPE) was applied to estimate the poverty level. As the main research methods, the authors used a comparative and correlation analysis with respect to the above-mentioned indicators, as well as the Monte Carlo method in order to evaluate the probability of a change in the indicator “population at risk of poverty or social exclusion” in 2021. The EU countries with higher digitalization levels have a lower percentage of the population at risk of poverty and social exclusion. However, a higher digitalization level of the EU member states does not provide an accelerated risk reduction of poverty and social exclusion. Statistical calculations with respect to the entire population of these countries mainly indicate reverse processes. At the same time, a further reduction of poverty and social exclusion level is less probable in the countries with a higher level of digitalization. For relatively poor segments of the population (the 1st and 2nd quintiles by income) in the EU member states, the level of digitalization does not play a significant role. For relatively wealthy segments of the population (the 3rd and 4th quintiles by income) the authors noticed a pattern: the higher the level of digitalization is, the lower the risk of poverty and social exclusion becomes. A pairwise comparison of countries with initially similar AROPE values showed that in most cases (3 out of 5), the countries with higher levels of digitalization showed a more significant reduction in poverty and social exclusion. However, the probability of further positive changes in this area is higher for the countries with a lower level of digitalization.