Abstract
Preferences can be deduced by questioning a given population, which may be either reduced to a group of experts or considered as a set of inquired persons. Vagueness frequently appears in the asked questions or proposed criteria, and in the answers or characteristics given by the individuals. Fuzzy preferences are then necessary and, in some cases, they must lead to crisp conclusion. We study several means of evaluating the preferences in the case of fuzzy or imprecise answers to crisp questions (or criteria) or in the case of deliberately vague or subjective questions (or criteria). We deal with the problem of coming to the “best conclusion” with respect to the obtained results and we propose to use fuzzy relations and a method based on a measure of crispness of the classes of fuzzy opinions they determine.
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References
Bezdek, J., B. Spillman, and R. Spillman (1979). Fuzzy relation spaces for group decision theory: an application. Fuzzy Sets and Syst. 2, 5–14.
Bouchon, B. (1982). Decisions based on fuzzy information (in French). Proc. 19th Meeting on Multiple Criteria Decision Aid, Liege, 1982 (Public. European Institute for Advanced Studies in Management).
Bouchon, B. (1985). Questionnaires in a fuzzy setting. In J. Kacprzyk and R.R. Yager (eds.), Management Decision Support Systems Using Fuzzy Sets and Possibility Theory. Verlag TUV Rheinland, 189–197.
Dimitrov, V. (1983). Group choice under fuzzy information. Fuzzy Sets and Syst. 6, 25–39.
Kacprzyk, J. (1984). Collective decision-making with fuzzy majority rule. Proc. of 6th International Congress of Cybernetics and Systems. Paris, 153–159.
Renyi, A. (1970). Probability Theory. North Holland, Amsterdam.
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© 1987 Springer Science+Business Media Dordrecht
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Bouchon, B. (1987). Preferences Deduced from Fuzzy Questions. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_8
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DOI: https://doi.org/10.1007/978-94-009-3869-4_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8220-4
Online ISBN: 978-94-009-3869-4
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