Aggregation of monotone reciprocal relations with application to group decision making

Fuzzy Sets and Systems

Volumn 184, Issue 1, 2011, Pages 29-51

  Rademaker, Michaël ^a   De Baets, Bernard ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Aggregation; Group decision support; Monotone reciprocal relation; Stochastic dominance; Stochastic transitivity

Indexed keywords

A-MONOTONE; GROUP DECISION MAKING; GROUP DECISION SUPPORTS; LINEAR ORDER; MONOTONICITY; OPTIMIZATION PROBLEMS; RECIPROCAL RELATIONS; STOCHASTIC DOMINANCE; STOCHASTIC MONOTONICITY; STOCHASTIC TRANSITIVITY;

AGGLOMERATION; DECISION SUPPORT SYSTEMS;

STOCHASTIC SYSTEMS;

EID: 80052967059     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2010.10.021     Document Type: Conference Paper

References (32)

1. K.J. Arrow Social Choice and Individual Values second ed. 1963 John Wiley
2. V.S. Bawa Safety-first, stochastic dominance, and optimal portfolio choice The Journal of Financial and Qualitative Analysis 13 1978 255 271
3. B.V. Cherkassky, and A.V. Goldberg On implementing push-relabel method for the maximum flow problem Algorithmica 19 1997 390 410 (Pubitemid 127708734)
4. B. De Baets, and H. De Meyer Transitivity frameworks for reciprocal relations: cycle-transitivity versus FG-transitivity Fuzzy Sets and Systems 152 2 2005 249 270 (Pubitemid 40537256)
5. B. De Baets, H. De Meyer, B. De Schuymer, and S. Jenei Cyclic evaluation of transitivity of reciprocal relations Social Choice and Welfare 26 2 2006 217 238 (Pubitemid 44030352)
6. M. de Condorcet, Essai sur l' application de l' analyse la probabilité des décisions rendues la probabilité des voix, De l' Imprimerie Royale, Paris, 1785.
7. S. Díaz, J.L. García-Lapresta, and S. Montes Consistent models of transitivity for reciprocal preferences on a finite ordinal scale Information Sciences 178 13 2008 2832 2848
8. E.A. Dinic Algorithm for solution of a problem of maximum flow in a network with power estimation Soviet Mathematics - Doklady 11 1970 1277 1280
9. P.C. Fishburn Binary choice probabilities: on the varieties of stochastic transitivity Journal of Mathematical Psychology 10 1973 327 352
10. P.C. Fishburn Paradoxes of voting American Political Science Review 68 1974 537 546
11. L.R. Ford, and D.R. Fulkerson Flows in Networks 1962 Princeton University Press Princeton, NJ
12. A.V. Goldberg, A new max-flow algorithm, Technical Report MIT/LCS/TM-291, Laboratory for Computer Science, MIT, Cambridge, MA, 1985.
13. A.V. Goldberg, and R.E. Tarjan A new approach to the maximum-flow problem Journal of the Association for Computing Machinery 35 4 1988 921 940
14. F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A model of consensus in group decision making under linguistic assessments Fuzzy Sets and Systems 78 1 1996 73 87 (Pubitemid 126667360)
15. H. Levy Decision Making Under Uncertainty: Stochastic Dominance 1998 Springer
16. S. Lievens, and B. De Baets Supervised ranking in the WEKA environment Information Sciences 180 24 2010 4763 4771
17. S. Lievens, B. De Baets, and K. Cao-Van A probabilistic framework for the design of instance-based supervised ranking algorithms in an ordinal setting Annals of Operations Research 163 2008 115 142
18. R.H. Möhring, Algorithmic aspects of comparability graphs and interval graphs, in: I. Rival (Ed.), Proceedings of the NATO Advanced Study Institute on Graphs and Order, Banff, BC, Canada, 1985, pp. 41-101.
19. H. Nurmi Voting Paradoxes and How to Deal with Them 1999 Springer-Verlag
20. G. Pasi, and R.R. Yager Modeling the concept of majority opinion in group decision making Information Sciences 176 4 2006 390 414 (Pubitemid 41660611)
21. P. Perny, and M. Roubens Fuzzy preference modeling R. Słowiński, Fuzzy Sets in Decision Analysis, Operations Research and Statistics 1998 Kluwer Academic Publishers
22. M. Rademaker, B. De Baets. Optimal restoration of stochastic monotonicity w.r.t. cumulative label frequency loss functions, Information Sciences, in press, doi: 10.1016/j.ins.2010.10.026.
23. M. Rademaker, B. De Baets, H. De Meyer. Optimal monotone relabeling of partially non-monotone ordinal data, Optimization Methods and Software, in press. doi: 10.1080/10556788.2010.507272.
24. M. Rademaker, B. De Baets, and H. De Meyer Loss optimal monotone relabeling of noisy multi-criteria data sets Information Sciences 179 2009 4089 4096
25. A. Schrijver Combinatorial Optimization: Polyhedra and Efficiency 2003 Springer
26. J. Springael, W. De Keyser. A new generation of multi-criteria based group decision support methods, in: Proceedings of the 17th International Conference on Multiple Criteria Decision Making, Whistler, British Columbia, Canada, 2004.
27. H.A. Urcola, and J. Lowenberg-Deboer A stochastic dominance method for incorporating yield monitor data into the hybrid and variety decisions of Argentinean farmers Computers and Electronics in Agriculture 58 2007 4 12 (Pubitemid 46778755)
28. W. Waegeman, J. Verwaeren, B. Slabbinck, B. De Baets, Supervised learning algorithms for multi-class classification problems with partial class memberships, Fuzzy Sets and Systems, submitted for publication.
29. H.P. Young Condorcet's theory of voting American Political Science Review 82 1988 1231 1244
30. K. Zendehdel, M. Rademaker, B. De Baets, and G. Van Huylenbroeck Qualitative valuation of environmental criteria through a group consensus based on stochastic dominance Ecological Economics 67 2008 253 264
31. K. Zendehdel, M. Rademaker, B. De Baets, and G. Van Huylenbroeck Improving tractability of group decision making on environmental problems through the use of social intensities of preferences Environmental & Modelling Software 24 2009 1457 1466
32. K. Zendehdel, M. Rademaker, B. De Baets, and G. Van Huylenbroeck Environmental decision making with conflicting social groups: a case study of the Lar rangeland in Iran Journal of Arid Environments 74 2010 349 402