Abstract

The purpose of the study is to investigate the features of the algorithm for forming the stock portfolio of investors using the theory of fuzzy sets, taking into account a priori uncertain input information and market dynamics. The scientific novelty of the article lies in the application of a relatively new fuzzy-multiple apparatus and the theory of fuzzy sets to the formation of the stock portfolio of investors. From a practical point of view, the proposed fuzzy model makes it possible to predict not only the structure and expected return of a portfolio of securities, similarly to the application of the classical portfolio theory, but also to obtain the values of the lower and upper boundaries of the return on securities, which will allow the investor to form a more complete picture of the structure of the portfolio in the future. As a result, it was found that the use of classical statistical approaches for the formation of a stock portfolio of investors will not allow obtaining a reliable and accurate result, since traditional methods do not take into account the uncertainty factors of events in the stock market. To level information asymmetry and eliminate risks of uncertainty, it is advisable to apply the theory of fuzzy logic.