Utility function of fuzzy preferences on a countable set under max-*-transitivity |
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| Authors: | Louis Aimé Fono Nicolas Gabriel Andjiga |
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| Affiliation: | (1) Département de Mathématiques et Informatique, Faculté des Sciences, Université de Douala, B.P. 24157, Douala, Cameroun;(2) Département de Mathématiques, Ecole Normale Supérieure, Université de Yaoundé I, B.P. 47, Yaounde, Cameroun |
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| 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. 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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| Keywords: | Countable set Fuzzy binary relation Max-*-transitivity Utility function |
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