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Defending against strategic manipulation in uninorm-based multi-agent decision making. (English) Zbl 0998.90046

Summary: We consider the problem of multi-agent group decision making. We describe the possible use of the uninorm aggregation operator as a way of combining individual agents’ preference functions to obtain a group preference function. We then discuss the possibility of an agent using a type of strategic manipulation of the preference information it provides in order to get the group to select its most preferred alternative. A mechanism is then suggested for modifying the construction of the group decision function to defend against this type of strategic manipulation. In addition to considering the case where the preference information is provided numerically we consider the case of ordinal preference information.

MSC:

90B50 Management decision making, including multiple objectives
91B10 Group preferences
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[1] Kacprzyk, J.; Fedrizzi, M., Multiperson Decision Making Using Fuzzy Sets and Possibility Theory (1990), Kluwer Academic Publishers: Kluwer Academic Publishers Hingham, MA · Zbl 0724.00034
[2] Kacprzyk, J.; Nurmi, H.; Fedrizzi, M., Consensus Under Fuzziness (1997), Kluwer Academic Publishers: Kluwer Academic Publishers Boston, MA · Zbl 0882.00024
[3] Yager, R. R., Misrepresentations and challenges: A response to Elkan, IEEE Expert, 41-42 (1994) · Zbl 1009.03531
[4] Yager, R. R.; Rybalov, A., Uninorm aggregation operators, Fuzzy Sets and Systems, 80, 111-120 (1996) · Zbl 0871.04007
[5] Kelly, J. S., Almost all social choice functions are highly manipulable, but a few aren’t, Social Choice and Welfare, 10, 161-175 (1993) · Zbl 0779.90006
[6] Smith, D. A., Manipulability of common social choice functions, Social Choice and Welfare, 16, 639-661 (1999) · Zbl 1066.91548
[7] Yager, R. R., Penalizing strategic preference manipulation in multiagent decision making, IEEE Transactions on Fuzzy Sets and Systems, 9, 393-403 (2001)
[8] Klement, E. P.; Mesiar, R.; Pap, E., Triangular Norms (2000), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0972.03002
[9] Yager, R. R.; Rybalov, A., Full reinforcement operators in aggregation techniques, IEEE Transactions on Systems, Man and Cybernetics, 28, 757-769 (1998)
[10] Fodor, J. C.; Yager, R. R.; Rybalov, A., Structure of uni-norms, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5, 411-427 (1997) · Zbl 1232.03015
[11] De Baets, B.; Fodor, J., Residual operators of uninorms, Soft Computing, 3, 89-100 (1999)
[12] De Baets, B., Uninorms: The known classes, (Ruan, D.; Abderrahim, H. A.; D’hondt, P.; Kerre, E. E., Fuzzy Logic and Intelligent Technologies for Nuclear Science and Industry (1998), World Scientific: World Scientific Singapore), 21-28
[13] Yager, R. R., Uninorms in fuzzy systems modeling, Fuzzy Sets and Systems, 122, 167-175 (2001) · Zbl 0978.93007
[14] Yager, R. R., A note on weighted queries in information retrieval systems, Journal of the American Society of Information Sciences, 38, 23-24 (1987)
[15] Yager, R. R., Structures generated from weighted fuzzy intersection and union, Journal of the Chinese Fuzzy Systems Association, 2, 37-58 (1996)
[16] Zadeh, L. A., Fuzzy logic=computing with words, IEEE Transactions on Fuzzy Systems, 4, 103-111 (1996)
[17] Zadeh, L. A.; Kacprzyk, J., Computing with Words in Information/Intelligent Systems 1 (1999), Physica-Verlag: Physica-Verlag Heidelberg · Zbl 0931.00023
[18] Yager, R. R., On ordered weighted averaging aggregation operators in multi-criteria decision making, IEEE Transactions on Systems, Man and Cybernetics, 18, 183-190 (1988) · Zbl 0637.90057
[19] Yager, R. R.; Kacprzyk, J., The Ordered Weighted Averaging Operators: Theory and Applications (1997), Kluwer Academic Publishers: Kluwer Academic Publishers Norwell, MA · Zbl 0948.68532
[20] Yager, R. R., Constructing decision functions with augmented ordinal information, (Proceedings of the Thirty-third Hawaii International Conference on Systems Science (2000)) · Zbl 0432.90004
[21] R.R. Yager, Ordinal decision making with a notion of acceptable: Denoted ordinal scales, in: T.Y. Lin, Y.Y. Yao, L.A. Zadeh (Eds.), Granular Computing and Data Mining, Physica-Verlag, Heidelberg (to appear); R.R. Yager, Ordinal decision making with a notion of acceptable: Denoted ordinal scales, in: T.Y. Lin, Y.Y. Yao, L.A. Zadeh (Eds.), Granular Computing and Data Mining, Physica-Verlag, Heidelberg (to appear) · Zbl 1017.68113
[22] De Baets, B., Idempotent uninorms, European Journal of Operations Research, 118, 631-642 (1999) · Zbl 0933.03071
[23] Yager, R. R., A new methodology for ordinal multiple aspect decisions based on fuzzy sets, Decision Sciences, 12, 589-600 (1981)
[24] Yager, R. R., On the measure of fuzziness and negation part I: Membership in the unit interval, International Journal of General Systems, 5, 221-229 (1979) · Zbl 0429.04007
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