Abstract

Revolutionary changes are taking place in the field of mathematical, statistical and instrumental methods of economics, a brief review of which is the subject of this article. A new paradigm of mathematical research methods is the basis of the methodology of systemic fuzzy interval mathematics. The role of such tools as terminological systems is great. Among the intellectual tools of economics and management, one of the main places is occupied by methods of making managerial decisions. The basic concepts in mathematical methods and models of decision theory are fuzzy and interval numbers and sets, and therefore the intellectual tools of this theory are based on systemic fuzzy interval mathematics. A variety of expert procedures designed to collect and analyze the subjective opinions of experts use intuition as a basic component of human thinking. Methods of awakening and stimulating intuition deserve careful study and development with a view to applying it to solving practical problems. Methods for the development and application of technologies for information and analytical decision support, i.e. controlling are important for economics and management. Particularly promising are the controlling methods and its component – ​the controlling of science, including scientometric and expert methods of managing scientific activities. And therefore we must bring the paradigm of economic science in line with modern requirements, adequately transform the teaching system. The explosive development of the digital economy, by which we mean modern information and communication technologies in the field of economics and management, makes it possible to form a new paradigm of economic science. Its basis, in our opinion, should be a solidary information economy.

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