Abstract
In group decision making (GDM) processes, prior to the selection of the best alternative(s), it would be desirable that experts achieve a high degree of consensus or agreement between them. Due to the complexity of most decision making problems, individuals’ preferences may not satisfy formal properties. Consistency is one of such properties, and it is associated with the transitivity property. Obviously, when carrying out a rational decision making, consistent information, i.e. information which does not imply any kind of contradiction, is more appropriate than information containing some contradictions. Therefore, in a GDM process, consistency should also be sought after.
In this paper we present a consensus model for GDM problems that proceeds from consistency to consensus. This model includes a novel consistency reaching module based on consistency measures. In particular, the model generates advice on how experts should change their preferences in order to reach a solution with high consistency and consensus degrees.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems 97(1), 33–48 (1998)
Chiclana, F., Herrera, F., Herrera-Viedma, E.: A Note on the Internal Consistency of Various Preference Representations. Fuzzy Sets and Systems 131(1), 75–78 (2002)
Fishburn, P.C.: The Theory of Social Choice. Princeton University Press, Princeton, NJ (1973)
Fishburn, P.C.: Utility Theory for Decision Making. Robert E. Krieger Publishing Company (1979)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems 79, 73–87 (1996)
Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: Linguistic measures based on fuzzy coincidence for reaching consensus in group decision making. International Journal approximate Reasoning 16, 309–334 (1997)
Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans 32(3), 394–402 (2002)
Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issues on consistency of fuzzy preference relations. European Journal of Operational Research 154(1), 98–109 (2004)
Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F.: A consensus support system model for group decision-making problems with multi-granular linguistic preference relations. IEEE Transactions on Fuzzy Systems 13(5), 644–658 (2005)
Herrera-Viedma, E., Mata, F., Martínez, L., Chiclana, F., Pérez, L.G.: Measurements of consensus in multi-granular linguistic group decision making. In: Torra, V., Narukawa, Y. (eds.) MDAI 2004. LNCS (LNAI), vol. 3131, pp. 194–204. Springer, Heidelberg (2004)
Herrera-Viedma, E., Mata, F., Martínez, L., Pérez, L.G.: An adaptive module for the consensus reaching process in group decision making problems. In: Torra, V., Narukawa, Y., Miyamoto, S. (eds.) MDAI 2005. LNCS (LNAI), vol. 3558, pp. 89–98. Springer, Heidelberg (2005)
Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems 18, 105–118 (1986)
Ma, J., Fan, Z.-P., Jiang, Y.-P., Mao, J.Y., Ma, L.: A method for repairing the inconsistency of fuzzy preference relations. Fuzzy Sets and Systems 157, 20–33 (2006)
Roubens, M.: Fuzzy sets and decision analysis. Fuzzy Sets and Systems 90, 199–206 (1997)
Tanino, T.: Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems 12, 117–131 (1984)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chiclana, F., Mata, F., Alonso, S., Herrera-Viedma, E., Martínez, L. (2007). Group Decision Making: From Consistency to Consensus. In: Torra, V., Narukawa, Y., Yoshida, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2007. Lecture Notes in Computer Science(), vol 4617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73729-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-73729-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73728-5
Online ISBN: 978-3-540-73729-2
eBook Packages: Computer ScienceComputer Science (R0)