Abstract
We consider the problem where rankings, provided for instance by a group of evaluators, have to be combined into a common group ranking. In such a context, Arrow and Raynaud suggested that the compromise ranking should be a prudent order. In general, a prudent order is not unique. That is why, we propose to manage this possible multiplicity of compromise solutions by computing robust conclusions. This allows for a progressive refinement of the decision model and supports the group to eventually select one group ranking. The approach is illustrated on a problem where a group of junior researchers has to agree on a ranking of research domains.
Similar content being viewed by others
References
Arrow K, Rayanud H (1986) Social choice and multicriterion decision-making, MIT Press
Bernardo JJ (1977) An assignment approach to choosing R&D experiments. Decision Sci 8: 489–501
Blin JM (1976) A linear assignement formulation for the multiattribute decision problem. Revue Française d’automatique, d’informatique et de recherche opérationelle 6: 21–32
Borda JC (1784) Mémoire sur les élections au scrutin. Histoire de l’académie royale des sciences
Bruggemann R, Halfon E, Welzl G, Voigt K, Steinberg CEW (2001) Applying the concept of partially ordered sets on ranking of near shore sediments by a battery of tests. J Chem Inf Comput Sci 4: 918–925
Colson G (2000) The OR’s prize winner and the software ARGOS: how a multijudge and multicriteria ranking GDSS helps a jury to attribute a scientific award. Comput Oper Res 27: 741–755
Cook W, Seiford L (1978) Priority ranking and consensus formation. Manage Sci 24: 1721–1732
Debord B (1987b) Axiomatisation de procédures d’agrégation de préférences. PhD Thesis, Université Scientifique et Médicale de Grenoble
De Keyser W, Springael J (2002) Another way of looking at group decision making opens new perspectives. Technical Report 2002015, University of Antwerp, Faculty of Applied Economics
Dias L, Clímaco J (2000) ELECTRE TRI for groups with imprecise information on parameter values. Group Decis Neg 9: 355–377
Dias L, Clímaco J (2005) Dealing with imprecise information in group multicriteria decisions: a methodology and a GDSS architecture. Eur J Oper Res 160: 291–307
Dias L, Tsoukiàs A (2004) On the constructive and other approaches in decision aiding. In: Antunes CH, Figueira J, Clímaco J. (eds.), Aide multicritére à décision: multiple criteria decision aiding, pp. 13–28, CCDRC/INESCC/FEUC.
Dushnik B, Miller E (1941) Partially ordered sets. Am J Math 63: 600–610
Guénoche A (1996) Vainqueurs de Kemeny et tournois difficiles. Mathématique, Informatique et Sciences humaines 133: 57–65
Jelassi T, Kersten G, Ziont S (1990) An introduction to group decision and negotiation support. In: Bana e Costa CA (ed), Readings in multiple criteria decision making, Springer Verlag, pp. 537–568
Kemeny J (1959) Mathematics without numbers. Daedulus 88: 571–591
Kohler G (1978) Choix multicritère et analyse algébrique de données ordinales. PhD Thesis, Université Scientifique et Médicale de Grenoble
Lamboray C (2006) An axiomatic characterization of the prudent order preference function. Annales du Lamsade 6: 229–256
Lamboray C (2007) Prudent ranking rules: theoretical contributions and applications. PhD thesis, Université Libre de Bruxelles, Université du Luxembourg
Lansdowne Z (1996) Ordinal ranking methods for multicriterion decision making. Nav Res Logistics 43: 613–627
Lansdowne Z (1997) Outranking methods for multicriterion decision-making: Arrow’s and Raynaud’s conjecture. Soc Choice Welfare 14: 125–128
Roy B (1998) A missing link in operational research decision aiding: robustness analysis. Found Comput Decis Sci 23: 141–160
Roy B, Bouyssou D (1993) Aide multicritère à la décision: méthodes et cas. Economica
Slater P (1961) Inconsistencies in a schedule of paired comparisons. Biometrica 48: 303–312
Tideman TN (1987) Independence of clones as criterion for voting rules. Soc Choice Welfare 4: 185–206
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lamboray, C. A Progressive Search for a Group Ranking with Robust Conclusions on Prudent Orders. Group Decis Negot 19, 39–56 (2010). https://doi.org/10.1007/s10726-007-9102-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10726-007-9102-x