Treatment of Portfolio Investment by Means of Probability-Based Multi-objective Optimization

In this chapter, the portfolio investment problem is treated by using probability-based multi-objective optimization together with “uniform design for experiments with mixtures.” It involves the simultaneous optimization of maximum return rate and minimum risk of the portfolio investment as optimal problem with double objectives. The optimal problem with double objectives of maximum return rate and minimum risk is transferred into a mono-objective by means of probability-based multi-objective optimization first, the “uniform design for experiments with mixtures” is used to perform discretization for the succeeding data treatment. The analysis reveals that the probability-based multi-objective optimization methodology could result in a rational optimal consequence of the related problems.