UDC 517.11 + 519.92
DOI: 10.36871/2618-9976.2023.02.004
Authors
Zulfira F. Sadykova,
Candidate of Economic Sciences, Associate Professor, Department of Mathematics, Financial University
under the Government of the Russian Federation, Moscow, Russia
Vladimir A. Abaev,
Candidate of Economic Sciences, Associate Professor, Department of Data Analysis and Machine
Learning, Financial University under the Government of the Russian Federation, Moscow, Russia
Abstract
A large number of tasks in the economy are aimed at processing little formalized data. These can be tasks of analysis, planning, forecasting in the economy. The solution of these problems is reduced to the formalization of the data flow into a functional dependence. The definition of functional dependence is reduced to the approximation of data by a mathematical function. It is convenient to represent poorly formalized data as fuzzy numbers and reduce the solution of the approximation problem to the calculation of systems of fuzzy linear equations. This is achieved by developing the apparatus of software systems operating with calculations of fuzzy matrices. We have implemented computational approaches using the Zadeh principle and ordered fuzzy numbers.
Keywords
Fuzzy computations, Matrix of values, Vector of values, Inverse matrix, Matrix determinant, Fuzzy set, Least squares method, System of fuzzy linear equations
