UDC 510.644.4
DOI: 10.36871/2618-9976.2024.02.004

Authors

Leonid S. Zvyagin,
PhD of Economics, Associate Professor, Associate Professor of the Department of "System Analysis in Economics" of the Faculty of Information Technology and Big Data Analysis, Financial University under the Government of the Russian Federation, Moscow, Russia

Abstract

The need for the theory of fuzzy sets is explained by the fact that thanks to fuzzy sets, it becomes possible to describe fuzzy concepts, operate on them and extract fuzzy conclusions. Today, fuzzy logicbased fuzzy systems are being implemented almost everywhere, in many business entities in order to analyze and evaluate information, make forecasts and model. The application of this theory has made it possible to make a breakthrough in the organization of management of technical facilities.
The term «fuzzy set» was introduced by Lotfi A. Zadeh, having expanded the concept of a set, became the author of the theory of fuzzy sets, and he considered classical sets to be a special case of fuzzy ones.
The reason for the popularity of fuzzy set theory lies in its peculiarity, namely the ability to take into account human judgments. However, all knowledge and judgments reproduced by humans are fuzzy, subjective and in most cases uncertain, so it was necessary to create a mathematical theory that could take into account approximate judgments of people, which is the theory of fuzzy sets. Thanks to the emergence of this theory, it became possible not only to consider phenomena at a qualitative level, as it was before, but also to conduct a quantitative analysis, which is truly important in modern realitiesd.

Keywords

Theory of fuzzy sets, Data analysis, Information technology, Applied solutions