A review of uncertain portfolio selection

This paper reviews the theory of uncertain portfolio selection which uses human estimates as inputs and applies uncertainty theory to select portfolios. The difference of the uncertain portfolio selection theory from the stochastic portfolio theory is given and the necessity and conditions for using the theory are presented. Some basic works are introduced, including different types of mathematical risk measurements, their features, and some basic uncertain portfolio selection models and their theorems. Finally, future work for uncertain portfolio selection is discussed.