Preference Convex Unanimity in Multiple Criteria Decision Making

The approach which results in the definition of stochastic dominance orders for risky decision making can also be applied to the nonrisky case, that is, one may postulate that alternative x dominates alternative y if x is preferred to y by every possible decision maker with specified preference characteristics. One such “unanimity” order is the standard componentwise vector order of multiple objective optimization. In this paper, a unanimity order is constructed based upon characteristics of preference convexity in conjunction with finitely many elicited preference responses. Since the new order properly includes the vector order, the corresponding efficient frontier may be smaller.