Problem of fuzzy portfolio optimization and its solution with application of forecasting methods

The novel theory of investment portfolio optimization under uncertainty is presented based on fuzzy set theory and efficient forecasing methods. The direct problem of fuzzy portfolio optimization and dual problem are considered. In the direct problem structure of a portfolio is determined which provides the maximum profitableness at the given risk level. In dual problem the portfolio structure is determined which provides the minimum risk level at the set level of critical profitableness. The experimental investigations of the suggested theory were carried out and comparison with classical portfolio model was performed.