Fuzzy rationality and utility theory axioms

Following the results by V. Cutello and J. Montero (1998), we present 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 fuzzy rationality measures previously introduced by V. Cutello and J. Montero (1994). A utility function is introduced by using a "boosting" procedure on the fuzzy preference relations.