A linkage between the Analytic Hierarchy Process and the Compromise Programming Models

In the search for a unifying theory in the field of multicriteria decision making, we establish a relationship in the discrete case between two of the most extended multicriteria decision making approaches, namely the Analytic Hierarchy Process (AHP) and the Compromise Programming (CP) Models. In order to link them, we consider a hierarchical modelling of the CP where the order of the norm equals one, and we employ the regret associated with the AHP priorities measured in absolute terms. This regret can be considered as the anchor that allows us to link the relativity of the AHP with the goal-seeking behaviour of the CP. In general, the establishment of a unified framework in this field may clarify the controversies that exist between the different schools of thought, which will undoubtedly result in the improvement of both the theoretical and practical applications.