Abstract:

A method of group decisionmaking problem based on preference distance  is proposed, when the preference information is provided by decision maker with lattice preference structure. The distance of preference relation based on lattice order is defined, and the distance between binary relations are calculated. Using the distance of preference relation,a mathematical model is established, the individual preferences are aggregated by applying the priority rules and intersection rule, and the group’s preference structure has partial order characteristic. The decisionmaking method is applied into the decision makers’ power with incomplete certain information.  The feasibility and effectiveness of the method are illustrated with a numerical  example.