Intellectualization of economic and mathematical tools to support decision - making in the management of public finances in the context of digitalization

The purpose of this article is to develop economic and mathematical tools to support decision-making in the management of public Finance as a key area of digital development. Research meets modern trends of innovative development of the economy. The research of scientists in the context of the development of digital problems is presented. The necessity of using economic and mathematical methods embedded in digital technologies to support decision-making in the management of public finances is substantiated. It is shown that territorial budgets play a key role in the system of public Finance. It is argued that due to the conjunctural changes in the external environment, the decision-making process for the management of the budget of administrative-territorial units takes place in conditions of uncertainty, which translate the management problem into a class of poorly structured. The solution of this problem required the use of a mathematical apparatus that allows logical analysis of natural language expressions with their subsequent computer processing. The article developed a complex of economic and mathematical models, built on the basis of the theory of formal languages, formal grammars, finite automata, and simulation modeling. The logical-linguistic model of generation and recognition of qualitatively expressed characteristics of the state of the territorial budget represented by natural language lexemes is constructed and implemented by means of the software environment. The simulation model included in the complex interacts with the logical-linguistic model in the process of assessing the state of the territorial budget.