Rectification of Preferences in a Fuzzy Environment
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2010
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Springer
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De Los Ríos, C.A.F., Montero, J., Rodríguez, J.T.: Rectification of Preferences in a Fuzzy Environment. En: Hüllermeier, E., Kruse, R., y Hoffmann, F. (eds.) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. pp. 168-178. Springer Berlin Heidelberg, Berlin, Heidelberg (2010)
Abstract
In this paper we consider a complete fuzzy preference structure, defined by means of a constructive approach associated to the necessary learning process in a decision making problem. Preference relations are successively assigned over a given set of alternatives with the possibility of revision and rectification, subject to a certain set of beliefs which sustain the construction of different viewpoints. Measures of information are then considered in this process for a formal identification of uncertainty due to ignorance, a concept that is closely related to ambiguity as defined by Fishburn (1993). Finally, a coherence criterion is proposed in order to study the importance of preferences, in such a way that an indirect and comparative analysis between them is needed so outcomes may be coherently organized.
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13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I