Modeling the Activity of Small and Medium Enterprises using Set Theory

Abstract

One of the directions of the Strategy for the Development of the Information Society in the Russian Federation for 2017-2030 is elaboration of technology for processing data on the activities of economic entities, as a tool for analyzing economic activity and making decisions based on the most complete amounts of information. The number of small and medium enterprises in certain industries and regions of Russia amounts to tens and hundreds of thousands. The assessment of their performance indicators requires improving methods for the formation and analysis of relevant databases, as well as the development of computer economic and mathematical models. Taking into account the large number of enterprises included in the relevant aggregates, the authors propose a new original approach to the description of their performance indicators. The study aims to develop a methodology for a system analysis of performance indicators of small and medium enterprises using set theory. These indicators are formed on the basis of a combination of different variants of their sets. The authors also consider the interrelations between the indicators characterizing the sets of small and medium enterprises belonging to different size categories, industries and territories. The results of the study can be used to develop technology for processing data on the activities of business entities, as a tool for analyzing economic activity and making decisions. They make it possible to establish patterns and trends in the development of various aggregates of SMEs, substantiate proposals and recommendations for improving their functioning on the basis of the characteristics specific to particular aggregates, and provide a differentiated approach to solving problems of state regulation of entrepreneurship.