Synthesizing Different Preference Information by Fuzzy Programming Method

Group decision making problems with different forms of preference information are discussed. Firstly, four forms of preference information ( i.e. preference ordering, utility value, AHP judgment matrix and fuzzy judgment matrix) are introduced and the computing formulas are given to transform different forms of preference information into the form of fuzzy judgment matrix. A new method that involves in different preference strength of experts is studied. Then, the assessment of the group priorities is formulated as a fuzzy linear programming problem, maximizing the group's overall satisfaction to get the group solution. The method can easily deal with missing judgments and different partiality intensity by decision makers. At the end, the feasibility and effectiveness of method is explained by an example.