Abstract
The use of fuzzy measures and the Choquet integral for Multi-Criteria Decision Analysis (MCDA) is briefly rewieved. Subsequently, an extension to group multi-criteria decision problem is suggested, showing how this approach is more suitable than weight averaging aggregation between a set of different decision makers, taking into account both the interaction among the criteria and the interaction among the decision makers.
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References
Chen S.-J., Hwang C.-L., Hwang F.P., Fuzzy multiple attribute decision making, Springer-Verlag, Berlin, 1992.
De Bets B., Van de Walle B., Dependency among alternatives and criteria in MCDM, Proceedings of CIFT’94, Trento (Italy), 1994, 80–85.
Grabisch M., k-order additive discrete fiizzy measures and their representation, Fuzzy Sets and Systems, 92, 1997, 167–189.
Grabisch M., The application of fiizzy integrals in multicriteria decision making, Fuzzy Sets and Systems, 92, 1997, 167–189.
Greco S., Matarazzo B., Slowinski R., The axiomatic approach to multicriteria sorting, Proceedings of XXIV A.M.A.S.E.S. Annual Meeting, Padenghe sul Garda (Italy), 359–366.
Herrera F., Herrera E., Verdegay J.L., A rational consensus model in group decision making using linguistic assessments, Fuzzv Sets and Systems, 88, 1997,31–49.
Kacprzyk J., Fedrizzi M., Nurmi H., Group decision making and consensus under fuzzy preferences and fuzzy majority, Fuzzy Sets and Systems, 49, 1992, 21–31.
Klir G., Wang Z., Harmanec D., Constructing fuzzy measures in expert systems, Fuzzy Sets and Systems, 92, 1997, 251–264.
Marichal J.L., Behavioral analysis of aggregation in multicriteria decision aid, Trento’2000 - 3 nd international Workshop on Preference and Decision, Trento (Italy), 2000, 71–80.
Marichal J.L., Roubens M., Dependence between criteria and multiple criteria decision aid, Trento’98 - 2 nd international Workshop on Preference and Decision, Trento, Italy, 1998,69–75.
Muroftishi T., Sugeno M., An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure, Fuzzy Sets and Systems 29, 1989, 201–227.
Vincke P., Multicriteria decision-aid, Wiley & Sons, 1992, Baffins Lane, Chichester, England.
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© 2002 Springer-Verlag London Limited
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Giove, S. (2002). Fuzzy measure and the Choquet integral for group multicriteria decision making. In: Tagliaferri, R., Marinaro, M. (eds) Neural Nets WIRN Vietri-01. Perspectives in Neural Computing. Springer, London. https://doi.org/10.1007/978-1-4471-0219-9_4
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DOI: https://doi.org/10.1007/978-1-4471-0219-9_4
Publisher Name: Springer, London
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