Goal programming model for integrating two forms of preference information in group decision making

Group decision making problems with different form of preference information are an important research topic. A linear goal programming model is constructed to integrate the fuzzy preference matrices as well as analytic hierarchy process judgement matrices given by the decision makers. From the solutions from the model, the ranking values of alternatives can be obtained. In this model, the ranking of alternatives reflects the subjective preference of every decision maker. Finally, an example is used to illustrate the use of the proposed model.