The Majority Preference Relation based on Cone Preference Relations of the Decision Makers

A multicriteria group choice problem is considered in the paper. The model includes a set of feasible alternatives, a vector criterion, and n preference relations of the decision makers (DMs). Each preference relation is a cone relation with corresponding properties. It is considered the majority preference relation, as a cone relation constructed upon the cones of the DMs’ preference relations. It is shown how to use and aggregate additional information about the DMs’ preference relations in case of three DMs and two criteria. The Pareto set of multicriteria problem with “new” vector criterion forms a group choice, which reduces the Pareto set of initial multicriteria problem.