Consensus measures generated by weighted Kemeny distances on weak orders

Proceedings of the 2010 10th International Conference on Intelligent Systems Design and Applications, ISDA'10

Volumn , Issue , 2010, Pages 463-468

  García Lapresta, José Luis ^a   Pérez Román, David ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

Consensus; Distances; Kemeny metric; Weak orders

Indexed keywords

CONSENSUS; DECISION MAKERS; DISTANCES; KEMENY METRIC; WEAK ORDERS;

SYSTEMS ANALYSIS;

INTELLIGENT SYSTEMS;

EID: 79851491687     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISDA.2010.5687220     Document Type: Conference Paper

References (14)

1. Alcalde-Unzu, J., Vorsatz, M. Measuring Consensus: Concepts, Comparisons, and Properties. In: Consensual Processes (eds. E. Herrera-Viedma, J.L García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, S. Zadrozny). Springer, forthcoming.
2. Baldiga, K.A., Green, J.R. Choice-based measures of conflict in preferences. Harvard University, 2010.
3. Barthelemy, J.P., Monjardet, B. The median procedure in cluster analysis and social choice theory. Mathematical Social Sciences 1, pp. 235-267, 1981.
4. Black, D. (1976): Partial justification of the Borda count. Public Choice 28, pp. 1-15.
5. Bosch, R. (2005): Characterizations of Voging Rules and Consensus Measures. Ph. D. Dissertation, Tilburg University.
6. Cook, W.D., Kress, M., Seiford, L.M. (1996): A general framework for distance-based consensus in ordinal ranking models. European Journal of Operational Research 96, pp. 392-397.
7. Cook, W.D., Seiford, L.M. (1982): On the Borda-Kendall consensus method for priority ranking problems. Management Science 28, pp. 621-637.
8. Deza, M.M., Deza, E. (2009): Encyclopedia of Distances. Springer-Verlag, Berlin.
9. Eckert, D., Klamler, C. (2010): Distance-Based Aggregation Theory. In: Consensual Processes (eds. E. Herrera-Viedma, J.L García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, S. Zadrozny). Springer, forthcoming.
10. García-Lapresta, J.L., Pérez-Román, D. Some consensus measures and their applications in group decision making. In: Computational Intelligence in Decision and Control (eds. D. Ruan, J. Montero, J. Lu, L. Martínez, P. D'hondt, E.E. Kerre). World Scientific, Singapore, pp. 611-616, 2008.
11. García-Lapresta, J.L., Pérez-Román, D. Measuring Consensus in Weak Orders. In: Consensual Processes (eds. E. Herrera-Viedma, J.L García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, S. Zadrozny). Springer, forthcoming.
12. Kemeny, J.G. (1959): Mathematics without numbers. Daedalus 88, pp. 571-591.
13. Kemeny, J.G., Snell, J.C. (1961): Mathematical Models in the Social Sciences. Ginand Company, New York.
14. Smith, J. (1973): Aggregation of preferences with variable electorate. Econometrica 41, pp. 1027-1041.