A Distance-Based Collective Weak Ordering

Authors: Ben Khelifa S.¹; Martel J-M.²

Source: Group Decision and Negotiation, Volume 10, Number 4, July 2001 , pp. 317-329(13)

Publisher: Springer

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Abstract:

A group decision-making approach can be seen as a two stage process. The first stage allows for multi-cirteria evaluation of the alternatives and the second aims at deriving a collective weak ordering from the partial orderings supplied by the members after the first stage. The problem of combining the weak orderings to form a collective ranking is investigated. An axiomatic structure relating to the concept of distance between binary relations is developed. An algorithm for deriving the collective weak ordering is proposed, based on the idea of ranking first the least dominated alternatives.

Keywords: group decision-making; multi-criteria decision aid; outranking methods; distance; weak ordering; partial ordering

Language: English

Document Type: Regular paper

Affiliations: 1: Ecole des Sciences Economiques et Commerciales, Tunis, Tunisie 2: Faculté des Sciences de l'Administration, Université Laval, Ste-Foy, Québec. PQ, G1K 7P4, Canada

Publication date: 2001-07-01