BELIEF AHP METHOD: AHP METHOD WITH THE BELIEF FUNCTION FRAMEWORK

Amel Ennaceur , Zied Elouedi (1) , Eric Lefevre (2)

1 LARODEC - Laboratoire de Recherche Opérationnelle de Décision et de Contrôle de Processus
2 LGI2A - Laboratoire de Génie Informatique et d'Automatique de l'Artois

In this paper, the Analytic Hierarchy Process (AHP) method is extended to an uncertain environment where the uncertainty is represented by belief functions as interpreted in the Transferable Belief Model (TBM). Our proposed approach, called belief AHP, is developed to help the decision maker to determine what the best alternatives are, considering multiple conflicting criteria where both alternatives and criteria may be soiled with imperfection. The Belief AHP method aims at comparing subsets of criteria and groups of alternatives in order to reduce the pair-wise comparisons number. Furthermore, to handle uncertainty that may appear in the comparison procedure, we use basic belief assignments instead of exact ratios to elicitate expert preferences. Finally, to illustrate the feasibility of our approach and to judge its performances, we have applied our proposed method on a real application problem: we have considered the PVC life cycle assessment especially the end of life phase.

Mots clés: Multi-criteria decision making; AHP; Belief function theory; Belief pair-wise comparison; Uncertain preferences; Multi-criteria decision making

Domaines: Intelligence artificielle [cs.AI]

Amel Ennaceur, Zied Elouedi, Eric Lefevre. BELIEF AHP METHOD: AHP METHOD WITH THE BELIEF FUNCTION FRAMEWORK. International Journal of Information Technology and Decision Making, 2016, 15 (03), pp.553-573. ⟨10.1142/S0219622016500139⟩. ⟨hal-03354127⟩