Abstract
We determine, by means of max-*-transitivity, necessary and sufficient conditions for a fuzzy binary relation R defined on a countable (finite or denumerable) set A to be representable by a utility function. We display one example of its application.
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The first author thanks AUF (Agence Universitaire de la Francophonie). This paper was revised when he was Visiting Researcher at CREM-University of Caen under the Research grant “Bourse Post-doctorale de la Francophonie 2005–2006”.
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Fono, L.A., Andjiga, N.G. Utility function of fuzzy preferences on a countable set under max-*-transitivity. Soc Choice Welfare 28, 667–683 (2007). https://doi.org/10.1007/s00355-006-0190-3
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DOI: https://doi.org/10.1007/s00355-006-0190-3