Title: Processing additional information in a multiple criteria context with mixed evaluations: including the weak preference relation

Authors: Sarah Ben Amor; Jean-Marc Martel

Addresses: Telfer School of Management, University of Ottawa, 55 Laurier East, Ottawa, Ontario, K1R 6N5, Canada ' Faculté des sciences de l'administration, Université Laval, 2325 rue de la Terrasse, Québec, Québec, G1V 0A6, Canada

Abstract: In a multiple criteria decision context facing inevitable and various kinds of information imperfections (uncertainty, imprecision, ambiguity...), it is rather natural to seek additional information. In this paper, we propose a unified procedure for processing additional information in such a context. It is based on the Bayesian model and the adaptation of information revision rules from the uniattribute to the multiattribute context. It leads to prior and posterior global preference relations including the strict preference, the indifference, the incomparability and the weak preference relations. The impact of additional information can then be assessed through the comparison of prior and posterior results.

Keywords: multicriteria analysis; multiattribute decision making; MADM; outranking methods; uncertainty; fuzzy theory; theory of evidence; information imperfections; Bayesian model; additional information; multicriteria decision making; MCDM; weak preference relations; fuzzy logic.

DOI: 10.1504/IJMCDM.2013.056780

International Journal of Multicriteria Decision Making, 2013 Vol.3 No.4, pp.362 - 380

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 15 Aug 2013 *

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