POSSIBILITIES OF USING TECHNOLOGIES BASED ON ARTIFICIAL INTELLIGENCE TO BUILD MATHEMATICAL MODELS FOR ASSESSING THE EFFICIENCY OF USING OWN RESOURCES IN SMALL BUSINESS

Abstract

The purpose of the study is to develop theoretical and methodological principles and mathematical approaches to building models for assessing the efficiency of using own resources in small business using technologies based on artificial intelligence. The object of the study is the process of using own resources in small business and its quantitative reflection in the system of mathematical assessment of efficiency. The paper reveals the theoretical and applied principles of using technologies based on artificial intelligence to build mathematical models for assessing the efficiency of using own resources in small business. It is ubstantiated that in conditions of limited financial, labor, material, time and information resources, mathematical modeling is the key basis for forming an objective analytical vision of the effectiveness of economic activity. The approaches to interpreting the own resources of small businesses as a multi-component system are generalized, the effectiveness of which should be assessed through quantitative dependencies, objective functions, a system of constraints and integral indicators. It is determined that technologies based on artificial intelligence provide the opportunity to identify hidden patterns, take into account nonlinear relationships between parameters, specify the weights of factors, increase the accuracy of forecasting and adapt mathematical models to changes in the internal and external environment. Special emphasis is placed on the mathematical component of the study, in particular on the importance of formalizing variables, building functional dependencies, assessing the impact of factors and optimizing the use of resources. It has been proven that the use of artificial intelligence technologies in combination with economic and mathematical tools contributes to increasing the validity of management decisions, reducing the level of subjectivity in assessment and forming the basis for ensuring the sustainability and development of small businesses