|
Organizers |
Approximate articulation of preferences in the Analytic Hierarchy Process: A min-max goal programming approach
by
Dimitrios Derpanis
University of Piraeus, Department of Informatics Piraeus, Greece
Coauthors: Nikos Alexandris and Dimitrios Despotis
A key issue addressed in multicriteria decision analysis (MCDA) is the assignment of priorities to decision elements. The Analytic Hierarchy Process (AHP) is a widely used approach for deriving such priorities through pair-wise comparisons of decision elements. In this paper we deal with the problem of priority elicitation in the AHP framework with approximate articulation of preferences. We propose a min-max goal programming formulation to derive priorities in the case that the preference judgements are provided as interval numbers. By applying variable transformations we develop a linear programming model that is capable of deriving priorities from both consistent and inconsistent interval judgements. The proposed method is illustrated by numerical examples.
Date received: October 13, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # carm-67.