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Direct approach processes in group decision making using linguistic OWA operators. (English) Zbl 0870.90007

Summary: In a linguistic framework, several group decision making processes by direct approach are presented. These processes are designed using the linguistic ordered weighted averaging (LOWA) operator. To do so, first a study is made of the properties and the axiomatic of LOWA operator, showing the rationality of its aggregation way. And secondly, we present the use of LOWA operator to solve group decision making problems from individual linguistic preference relations.

MSC:

91B06 Decision theory
91B08 Individual preferences
91B10 Group preferences
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[1] Arrow, K. J., Social Choice and Individual Values (1963), Wiley: Wiley New York · Zbl 0984.91513
[2] Bonissone, P. P.; Decker, K. S., Selecting uncertainty calculi and granularity: an experiment in trading-off precision and complexity, (Kanal, L. H.; Lemmer, J. F., Uncertainty in Artificial Intelligence (1986), North-Holland: North-Holland Amsterdam), 217-247
[3] Carlsson, C.; Ehrenberg, D.; Eklund, P.; Fedrizzi, M.; Gustafsson, P.; Lindholm, P.; Merkuryeva, G.; Riissanen, T.; Ventre, A. G.S., Consensus in distributed soft environments, European J. Oper. Res., 61, 165-185 (1992)
[4] Cholewa, W., Aggregation of fuzzy opinions: an axiomatic approach, Fuzzy Sets and Systems, 17, 249-259 (1985) · Zbl 0597.90005
[5] Cutello, V.; Montero, J., Hierarchies of intensity preference aggregations, Internat. J. Approximate Reasoning, 10, 123-133 (1994) · Zbl 0798.90005
[6] Delgado, M.; Verdegay, J. L.; Vila, M. A., On aggregation operations of linguistic labels, Internat. J. Intelligent Systems, 8, 351-370 (1993) · Zbl 0794.68154
[7] Dubois, D.; Koning, J. L., Social choice axioms for fuzzy set aggregation, Fuzzy Sets and Systems, 43, 257-274 (1991) · Zbl 0742.90004
[8] Fodor, J.; Roubens, M., Fuzzy Preference Modelling and Multicriteria Decision Support (1994), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0827.90002
[9] Fung, L. W.; Fu, K. S., An axiomatic approach to rational decision making in a fuzzy environment, (Zadeh, L. A.; etal., Fuzzy Sets and Their Applications to Cognitive and Decision Processes (1975), Academic Press: Academic Press New York), 227-256 · Zbl 0366.90003
[10] Herrera, F.; Verdegay, J. L., Linguistic assessments in group decision, (Proc. First European Congress on Fuzzy and Intelligent Technologies. Proc. First European Congress on Fuzzy and Intelligent Technologies, Aachen (1993)), 941-948
[11] F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A linguistic decision process in group decision making, Group Decision and Negotiation, to appear.; F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A linguistic decision process in group decision making, Group Decision and Negotiation, to appear. · Zbl 0871.90002
[12] Herrera, F.; Verdegay, J. L., On group decision making under linguistic preferences and fuzzy linguistic quantifiers, (Proc. Fifth Internat. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems. Proc. Fifth Internat. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems, Paris (1994)), 418-422
[13] Herrera, F.; Herrera-Viedma, E.; Verdegay, J. L., On dominance degrees in group decision making with linguistic preferences, (Proc. Fourth Internat. Workshop, Current Issues in Fuzzy Technologies: Decision Models and Systems. Proc. Fourth Internat. Workshop, Current Issues in Fuzzy Technologies: Decision Models and Systems, Trento (1994)), 113-117 · Zbl 0871.90002
[14] Herrera, F.; Herrera-Viedma, E.; Verdegay, J. L., A sequential selection process in group decision making with linguistic assessment, Internat. J. Inform. Sci., 80, 1-17 (1995) · Zbl 0871.90002
[15] F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A model of consensus in group decision making under linguistic assessments, Fuzzy Sets and Systems, to appear.; F. Herrera, E. Herrera-Viedma and J.L. Verdegay, A model of consensus in group decision making under linguistic assessments, Fuzzy Sets and Systems, to appear. · Zbl 0949.68571
[16] Kacprzyk, J., Group decision making with a fuzzy linguistic majority, Fuzzy Sets and Systems, 18, 105-118 (1986) · Zbl 0604.90012
[17] Kacprzyk, J.; Fedrizzi, M., A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences, European J. Oper. Res., 34, 316-323 (1988)
[18] Kacprzyk, J.; Roubens, M., Non-Conventional Preference Relations in Decision Making (1988), Springer: Springer Berlin · Zbl 0642.00025
[19] Kacprzyk, J.; Fedrizzi, M., Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory (1990), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0724.00034
[20] Kickert, W. J.M., Fuzzy Theories on Decision Making (1978), Nijhoff: Nijhoff Leiden · Zbl 0364.93022
[21] Mich, L.; Gaio, L.; Fedrizzi, M., On fuzzy logic-based consensus in group decision, (Proc. Fifth IFSA World Congress. Proc. Fifth IFSA World Congress, Seoul (1993)), 698-700
[22] Montero, F. J., A note on Fung-Fu’s theorem, Fuzzy Sets and Systems, 17, 259-269 (1985) · Zbl 0606.90008
[23] Nurmi, H.; Kacprzyk, J., On fuzzy tournaments and their solution concepts in group decision making, European J. Oper. Res., 51, 223-232 (1991) · Zbl 0742.90009
[24] Orlovsky, S. A., Decision making with a fuzzy preference relation, Fuzzy Sets and Systems, 1, 155-167 (1978) · Zbl 0396.90004
[25] Orlovsky, S. A., Calculus of Decomposable Properties, Fuzzy Sets and Decisions (1994), Allerton Press · Zbl 0822.90003
[26] Paun, G., An impossibility theorem for indicator aggregation, Fuzzy Sets and Systems, 9, 205-210 (1983) · Zbl 0503.90029
[27] Tanino, T., Fuzzy preference relations in group decision making, (Kacprzyk, J.; Roubens, M., Non-Conventional Preference Relations in Decision Making (1988), Springer: Springer Berlin), 54-71 · Zbl 0652.90010
[28] Tanino, T., On group decision making under fuzzy preferences, (Kacprzyk, J.; Fedrizzi, M., Multiperson Decision Making Using Fuzzy Sets and Possibility Theory (1990), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht), 172-185
[29] Tong, M.; Bonissone, P. P., A linguistic approach to decision making with fuzzy sets, IEEE Trans. Systems Man Cybernet., 11, 716-723 (1980)
[30] Yager, R. R., On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Trans. Systems Man Cybernet., 18, 183-190 (1988) · Zbl 0637.90057
[31] Yager, R. R., Fuzzy screening systems, (Lowen, R., Fuzzy Logic: State of the Art (1992), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht) · Zbl 0457.04004
[32] Yager, R. R., Applications and extension of OWA aggregation, Internat. J. Man-Machine Studies, 37, 103-132 (1992)
[33] Yager, R. R., Families of OWA operators, Fuzzy Sets and Systems, 59, 125-148 (1993) · Zbl 0790.94004
[34] Zadeh, L. A., A computational approach to fuzzy quantifiers in natural languages, Comput. Math. Appl., 9, 149-184 (1983) · Zbl 0517.94028
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