A decision tree solution considering the decision maker's attitude

We extend the expected monetary value (EMV) method of the decision tree to include the decision maker's preference information. Considering the decision maker's profit and risk attitude respectively, a decision tree method with ordered weighted average (OWA) aggregation operator is proposed. With given profit and risk optimistic level, the payoff values of the alternatives can be aggregated with geometric OWA operator and BADD (BAsic Defuzzification Distribution) neat OWA operator. Some properties of these two kinds of OWA operators are analyzed. And the process of the approach is shown by an illustrative example.