Resumen de A characterization of value efficiency

Sixto Ríos Insua, Alfonso Mateos Caballero

• An important issue in multi-attribute decision making consists of identifying the set of efficient solutions. The importance of this set is that the decision maker (DM) can restrict his attention to it, discarding all other solutions, because a nonefficient solution can never be optimal. Several methods have been developed to aid a DM in generating all or representative subsets of efficient solutions, [1] and [4], or to approximate it [7]. However most of these methods may be hard to apply to nonlinear problems being very difficult in that case to generate the efficient set. In this paper, we propose a characterization of the effective set for imprecise vector value functions, which intends to facilitate the checking of the efficiency.