A group decision making (GDM) problem is a decision process where several decision makers (experts, judges, etc.) participate and try to reach a common solution. In the literature these problems have been solved carrying out a selection process that returns the solution set of alternatives from the preferences given by the experts. In order to achieve an agreement on the solution set of alternatives among the experts, it would be adequate to carry out a consensus process before the selection process. In the consensus process the experts discuss and change their preferences in order to achieve a big agreement. Due to the fact that the experts may belong to different research areas, they may express their preferences in different information domains. In this contribution we focus on the consensus process in GDM problems defined in heterogeneous contexts where the experts express their preferences by means of numerical, linguistic and interval-valued assessments. We propose a consensus support system model to automate the consensus reaching process, which provides two main advantages: (1) firstly, its ability to cope with GDM problems with heterogeneous information by means of the Fuzzy Sets Theory, and, (2) secondly, it assumes the moderator's tasks, figure traditionally presents in the consensus reaching process.
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References
P.P. Bonissone and K.S. Decker. Selecting uncertainty calculi and granularity: An experiment in trading-off precision and complexity. Uncertainty in Artificial Intelligence, pages 217–247. North-Holland, Amsterdam, 1986.
G. Bordogna, M. Fedrizzi, and G. Pasi. A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 27:126–132, 1997.
N. Bryson. Group decision-making and the analytic hierarchy process: Exploring the consensus-relevant information content. Computers and Operational Research, 1(23):27–35, 1996.
T.X. Bui. A Group Decison Support System for Cooperative Multiple Criteria Group Decison-Making. Springer, Berlin Heidelberg New York, 1987.
C. Carlsson, D. Ehrenberg, P. Eklund, M. Fedrizzi, P. Gustafsson, P. Lindholm, G. Merkuryeva, T. Riissanen, and A.G.S. Ventre. Consensus in distributed soft environments. European Journal of Operational Research, 61:165–185, 1992.
M. Delgado, F. Herrera, E. Herrera-Viedma, and L. Martínez. Combinig numerical and linguistic information in group decision making. Information Sciences, 107:177–194, 1998.
Z.P. Fan and X. Chen. Consensus measures and adjusting inconsistency of linguistic preference relations in group decision making. Lecture Notes in Artificial Intelligence, 3613:130–139, 2005.
J. Fodor and M. Roubens. Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer, Dordrecht, 1994.
F. Herrera and E. Herrera-Viedma. Linguistic decision analysis: Steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115:67–82, 2000.
F. Herrera and L. Martínez. An approach for combining linguistic and numerical information based on 2-tuple fuzzy representation model in decision-making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8(5):539–562, 2000.
F. Herrera, E. Herrera-Viedma, and J.L. Verdegay. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 79:73–87, 1996.
F. Herrera, L. Martínez, and P.J. Sánchez. Managing non-homogeneous information in group decision making. European Journal of Operational Research, 166(1):115–132, 2005.
E. Herrera-Viedma, F. Herrera, and F. Chiclana. 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.
E. Herrera-Viedma, F. Mata, L. Martínez, F. Chiclana, and L.G. Pérez. Measurements of consensus in multi-granular linguistic group decision making. Lecture Notes in Artificial Intelligence, 3131:194–204, 2004.
E. Herrera-Viedma, L. Martínez, F. Mata, and F. Chiclana. 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.
J. Kacprzyk. Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems, 18:105–118, 1986.
J. Kacprzyk, M. Fedrizzi, and H. Nurmi. “Soft” degrees of consensus under fuzzy preferences and fuzzy majorities. Consensus Under Fuzziness, pages 55–81. Kluwer, Dordrecht, 1997.
S.H. Kim, S.H. Choi, and J.K. Kim. An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach. European Journal of Operational Research, 118:139–152, 1999.
D. Kuchta. Fuzzy capital budgeting. Fuzzy Sets and Systems, 111:367–385, 2000.
L.I. Kuncheva. Five measures of consensus in group decision making using fuzzy sets. In International Conference on Fuzzy Sets and Applications IFSA-95, pages 141–144, 1991.
S. Kundu. Min-transitivity of fuzzy leftness relationship and its application to decision making. Fuzzy Sets and Systems, 86:357–367, 1997.
J.F. Le Téno and B. Mareschal. An interval version of PROMETHEE for the comparison of building products’ design with ill-defined data on environmental quality. European Journal of Operational Research, 109:522–529, 1998.
E. Levrat, A. Voisin, S. Bombardier, and J. Bremont. Subjective evaluation of car seat comfort with fuzzy set techniques. International Journal of Intelligent Systems, 12:891–913, 1997.
M. Roubens. Fuzzy sets and decision analysis. Fuzzy Sets and Systems, 90:199–206, 1997.
S. Saint and J.R. Lawson. Rules for Reaching Consensus. A Modern Approach to Decision Making. Jossey-Bass, San Francisco, 1994.
E. Szmidt and J. Kacprzyk. A consensus reaching process under intuitionistic fuzzy preference relations. International Journal of Intelligent System, 18(7):837–852, 2003.
R.R. Yager. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man and Cybernetics, 18:183–190, 1988.
R.R. Yager. An approach to ordinal decision making. International Journal of Approximate Reasoning, 12:237–261, 1995.
R.R. Yager. Protocol for negotiations among multiple intelligent agents. Consensus Under Fuzziness, pages 165–174. Kluwer, Dordrecht, 1997.
L.A. Zadeh. The concept of a linguistic variable and its applications to approximate reasoning. Information Sciences, Part I, II, III, 8, 8, 9:199–249, 301–357, 43–80, 1975.
L.A. Zadeh. Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems, 4(2):103–111, 1996.
S. Zadrozny. An approach to the consensus reaching support in fuzzy environment. Consensus Under Fuzziness, pages 83–109. Kluwer, Dordrecht, 1997.
Q. Zhang, J.C.H. Chen, and P.P. Chong. Decision consolidation: Criteria weight determination using multiple preference formats. Decision Support Systems, 38(2):247–258, 2004.
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Mata, F., Martínez, L., Herrera-Viedma, E. (2008). A Consensus Support System for Group Decision Making Problems with Heterogeneous Information. In: Phillips-Wren, G., Ichalkaranje, N., Jain, L.C. (eds) Intelligent Decision Making: An AI-Based Approach. Studies in Computational Intelligence, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76829-6_9
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