UDC 004.724
APPROACH TO CHOOSING THE FUZZY REGRESSION MODEL IN THE PROBLEM OF ANALYZING THE INDICATORS OF SOCIO-ECONOMIC SPHERE, REPRESENTED BY THE TIME SERIES
L. A. Demidova, Dr. Sc. (Tech), full professor RTU MIREA, Moscow; full professor RSREU, Ryazan, Russia;
orcid.org/0000-0003-4516-3746, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
M. A. Stepanov, post-graduate student RSREU, Ryazan, Russia;
orcid.org/0000-0003-1165-415X, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The problem of choosing fuzzy regression model in the problem of analyzing the indicators of socioeconomic sphere represented by time series has been considered. The aim of the work is to develop the approach to choose fuzzy regression model by implementing a genetic algorithm which simultaneously searches the type of fuzzy regression equation and the values of its parameters. The equations of linear, quadratic, exponential, and logarithmic fuzzy regressions with asymmetric parameters encoded using triangular fuzzy numbers have been considered. The examples of constructing fuzzy regression models using the proposed approach in the problem of analyzing the indicators of socio-economic sphere presented by time series confirming its effectiveness have been given.
Key words: time series, model, fuzzy regression equation, triangular fuzzy number, genetic algorithm, socio-economic sphere.