Abstract
Multicriteria disaggregation–aggregation UTA* and UTA II approaches and the corresponding decision support systems MINORA and MIIDAS for discrete alternative actions lead to the construction of preference models based on decision makers (DMs) global preferences and the exploitation of linear programming techniques. DMs’ global preferences are expressed by rank-ordering (pre-ranking) of a subset of the alternative actions. This research work examines the incorporation of voting collective functions in order to estimate a global pre-ranking of the alternative actions in decision problems, where the opinion of many actors is required. Also, the corresponding features of new software [Rankings Aggregation for Committees and Elections Subsystem (RACES)] developed to support small group decision aid process, accompanying the MINORA system are presented and illustrated in this research work.
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Bargagliotti, A. (2009). Aggregation and decision making using ranked data. Mathematical Social Sciences, 58, 354–366.
Black, D. (1958). The theory of committees and elections. Cambridge: Cambridge University Press.
Borda, J. C. (1781). Memoire sur les elections au scrutin. Histoire de L’Academie Royale des Sciences. Paris: Académie Royale des Sciences.
Brams, S. J., & Fishburn, P. C. (2002). Voting procedures. In K. J. Arrow, A. K. Sen, & K. Suzumura (Eds.), Handbook of social choice and welfare. Amsterdam: Elsevier Science B. V.
Bui, T. X. (1987). Co-oP: A group decision support system for cooperative multiple criteria group decision making. Lecture notes in computer science, 290, 235–249.
Carlsson, C., Ehrenberg, D., Eklund, P., Fedrizzi, M., Gustafsson, P., Lindholm, P., et al. (1992). Consensus in distributed soft environments. European Journal of Operational Research, 61, 165–185.
Colson, G., & Mareschal, B. (1994). JUDGES: A descriptive group decision support system for the ranking of the items. Decision Support Systems, 12, 391–404.
Condorcet, M. J. (1785). Essai sur l’application de l’analyses a la probabilite des decision rendue a la pluralite des voix. Paris: Imprimerie Royale.
Cook, W. D., & Seiford, L. M. (1978). Priorities ranking and consensus formation. Management Science, 20(16), 59–73.
Dennis, A. R., George, J. F., Jessup, L. M., Nunamaker, J. F., & Vogel, D. (1988). Information technology to support electronic meetings. MIS Quarterly, 12(4), 591–624.
Figuera, J., Greco, S., & Slowinski, R. (2009). Building a set of additive value functions representing a reference preorder and intensities of preferences: The GRIP method. European Journal of Operational Research, 195(2), 460–486.
Fishburn, P. C. (1970). Conditions for simple majority decision functions with intransitive individual differences. Journal of Economic Theory, 2, 254–367.
Fishburn, P. C. (1972). A comparative analysis of group decision methods. Behavioral Science, 16(6), 538–236.
Fishburn, P. C., & Brams, S. J. (1981). Approval voting. Condorcet’s principles and Runnpff elections, Public Choice, 36, 89–114.
Greco, S., Mousseau, V., & Slowinski, R. (2007). Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions. European Journal of Operational Research, 19(2), 415–435.
Greco, S., Kedzinski, M., Mousseau, V., & Slowinski, R. (2012). Robust ordinal regression for multiple criteria group decision, UTA\(\hat{}\)GMS-GROUP and UTADIS\(\hat{}\)GMS-GROUP. Decision Support Systems, 52(3), 549–561.
Hwang, C-l, & Lin, M.-J. (1988). Group decision making under multiple criteria in lectures notes in economics and mathematical systems. Berlin, Heidelberg: Springer-Verlag.
Jacquet-Lagrèze, E., & Siskos, Y. (1982). Assessing a set of additive utility functions for multicriteria decision making. European Journal of Operational Research, 10(2), 151–164.
Jacquet-Lagreze, E., & Shakun, M. F. (1984). Decision support system for semistructured buying decisions. European Journal of Operational Research, 16(1), 48–56.
Jarke, M., Jelassi, M. T., & Shakun, M. F. (1987). MEDIATOR: Towards a negotiation support system. European Journal of Operational Research, 31, 314–333.
Keeney, R. L., & Raifa, H. (1976). Decision with multiple objectives: Preferences and value tradeoffs. NY: Wiley.
Kendall, M. G. (1970). Rank correlation methods. London: Charles Griffin and Company Limited.
Kenemy, J. G., & Snell, J. L. (1972). Mathematical models in the social sciences. Cambridge, MA: The MIT Press.
Kersten, G. E. (1985). NEGO-group decision support system. Information and Management, 8(5), 237–246.
Matsatsinis, N. F., & Delias, P. (2004). A multi-criteria protocol for multi-agent negotiations. In G.A. Vouros & T. Panayiotopoulos (Eds.), SETN, LNAI 3025 (pp.103–111). Berlin, Heidelberg: Springer-Verlag.
Matsatsinis, N. F., & Samaras, A. P. (1997). Aggregation and disaggregation of preferences for consensus seeking in group decisions. paper presented at the 46th Meeting of the European Working Group on Multicriteria Aid for Decisions, õ Bastia, France, 23–25 October.
Matsatsinis, N. F., & Samaras, A. P. (2001). MCDA and preference disaggregation in group decision support Systems. European Journal of Operational Research, 130, 414–429.
Miettinen, K., Salminen, P., & Hokkanen, J. (1997). Acceptability analysis for multicriteria problems with multiple decisionmakers. Report 2/1997, University of Jyvaskyla, Department of Mathematics, Laboratory of Scientifc Computing, Jyvaskyla.
Ntouskas, T., & Polemi, N. (2012). STORM-RM: A collaborative and multicriteria risk management methodology. International Journal of Multicriteria Decision Making, 2(2), 159–177.
Roy, B. (1985). Méthodologie multicritere d’Aide a la decision. Paris: Economica.
Roy, B. (1990). In Bana e Costa, C. A. (Ed.), The outranking approach and the foundations of ELECTRE methods, Reading in multiple criteria decision aid (pp. 155–183). Berlin: Springer.
Roy, B., & Bouyssou, D. (1993). Aide multicritère à la décision: Methodes et cas. Paris: Economica.
Saaty, T. L. (1980). The Analytic Hierarchy Process. NY: McGraw-Hill.
Siskos, Y., Spyridakos A and Yannacopoulos, D. (1993). MINORA: A multicriteria decision aiding system for discrete alternatives, Journal of Information Science and Technology. In Y. Siskos & C. Zopounidis (eds.), Special Issue on Multicriteria Decision Support Systems, 2(2), (pp.136–149).
Siskos, Y. and Grigoroudis, E. (2010). New trends in Aggregation–Disaggregation approaches. In C. Zopounideis & P.M. Pardalos (eds.), Handbook of multicriteria analysis, applied optimazation, 103, Berlin Heidelberg: Springer-Verlag, doi:10.1007/978-3-540-92828.
Siskos, Y. (1980). Comment modéliser les préférences au moyen de fonctions d’utilité additives. RAIRO Recherche Opérationnelle, 14, 53–82.
Siskos, Y., & Yannacopoulos, D. (1985). UTASTAR, an ordinal regression method for building additive value functions. Investigacao Operacional, 5(1), 39–53.
Siskos, Y., Spyridakos, A., & Yannacopoulos, D. (1998). Using artificial intelligent techniques into preference disaggregation analysis: The MIIDAS system. European Journal of Operational Research, 113, 281–299.
Spyridakos, A., Siskos, Y., Yannacopoulos, D., & Skouris, A. (2001). Multicriteria Job evaluation for large organizations. European Journal of Operational Research, 130, 375–387.
Spyridakos, A. (2010). Selecting reference set in disaggregation–aggregation multicriteria decision aid approach utilising clustering techniques with dissimilarity threshols. In A Respicio et al. (Eds.), Building the socio-technical gap in decision support systems, IOS Press, (pp. 217–248).
Spyridakos, A. (2012). Aggregation of individual preference models in collaborative decision making through disaggregation-aggregation approach with the RACES system. In A. Respicio & F. Burstein (Eds.), Fusing decision support systems into the fabric of the contex, IOS Press, (pp. 241–252).
Truchon, M., & Gordon, S. (2009). Statistical comparison of aggregation rules for votes. Mathematical Social Sciences, 57, 199–212.
Vetchera, R. (1991). Integrating databases and preference evaluations in group decision support — A feedback-oriented approach. Decision Support Systems, 7, 67–77.
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Spyridakos, A., Yannacopoulos, D. Incorporating collective functions to multicriteria disaggregation–aggregation approaches for small group decision making. Ann Oper Res 227, 119–136 (2015). https://doi.org/10.1007/s10479-014-1609-3
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DOI: https://doi.org/10.1007/s10479-014-1609-3