Preference–Approval Structures in Group Decision Making: Axiomatic Distance and Aggregation

Preference–approval structure combines the preference information of both ranking and approval, which extends ordinal model by incorporating two categories choice alternatives, that is, acceptable (good) unacceptable (bad), in modeling process. In this study, we present some axioms imply existence a unique distance function preference–approval structures. Based on theoretical analysis simulation experiments, further study preferences aggregation group decision-making context based proposed axiomatic function. model, is defined as minimizes sum its distances to all structures individuals under consideration. Particularly, show distance–based has close relationships with simple majority rule Cook Seiford’s ranking.