An extension of the axioms of utility theory based on fuzzy rationality measures
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2000
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Physica-Verlag
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Cutello, V., Montero, J.: An Extension of the Axioms of Utility Theory Based on Fuzzy Rationality Measures. En: Fodor, J., De Baets, B., y Perny, P. (eds.) Preferences and Decisions under Incomplete Knowledge. pp. 33-50. Physica-Verlag HD, Heidelberg (2000)
Abstract
We present here a (better yet, the problems involved with a) generalization of classical utility theory when basic preferences are stated by means of “rational” fuzzy preference relations. Rationality of fuzzy preference relations will be measured according to general fuzzy rationality measures. A utility function is proposed and introduced by using a “boosting” procedure on the fuzzy preference relations which may assure a linearization of the alternatives, still maintaining or improving rationality.