A Distance-Based Collective Weak Ordering

Slim Ben Khelifa and Jean-Marc Martel
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Slim Ben Khelifa: Ecole des Sciences Economiques et Commerciales
Jean-Marc Martel: Université Laval

Group Decision and Negotiation, 2001, vol. 10, issue 4, No 2, 317-329

Abstract: 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 (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (8)

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DOI: 10.1023/A:1011257109771

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