A possibilistic mean variance portfolio selection model

This paper deals with a portfolio selection problem with fuzzy return rates. A possibilistic mean variance portfolio selection model was proposed (FMV). The possibilistic programming problem can be transformed into a linear optimal problem with an additional quadratic constraint by possibilistic theory. For such problems there are no special standard algorithms. We propose a cutting plane algorithm to solve (FMVC). The nonlinear programming problem can be solved by sequence linear programming problem. A numerical example is given to illustrate the behavior of the proposed model and algorithm.