A Framework for Capturing Uncertainty of Group Decision-Making in the Context of the AHP/ANP

Author(s)

Lanndon Ocampo, Eppie Clark

Author affiliation

1 Department of Industrial Engineering, De La Salle University, 2401 Taft Avenue, 1004 Manila, Philippines
2 Department of Mechanical Engineering, University of San Carlos, Cebu City, 6000 Cebu, Philippines

Abstract

Addressing uncertainty in the framework of the analytic hierarchy process (AHP) and its general form, the analytic network process (ANP), has been a dynamic field of research for the last four to five decades. Two directions of research emerged in this domain: the simulation approach and the fuzzy set theory (FST) approach. In this paper, we propose the integration of these two approaches in the context of AHP/ANP to elucidate group decision-making problems. FST is used to handle impreciseness of judgments of individual decision-maker while simulation is used to capture uncertainty brought about by the variability and randomness in aggregating decision-makers’ judgments. These processes are applied at the level of the pairwise comparisons matrices in order to maintain the integrity of the general methodology of the AHP/ANP. The contribution of this work is on developing a methodology that addresses uncertainty both in individual and in group decision-making. The general framework and the detailed methodology are presented in this work. A simple case is used to show the computations.

Keywords

Analytic network process; Fuzzy set theory; Simulation; Uncertainty