Characterization of Fuzzy Rational Choice Function Under Intuitive Negation

The rationality of fuzzy choice function is characterized based on the intuitive negation and the fuzzy Schwartzs conditions. Under the assumption that every choice set is normal, the conditions so defined are proved to be sufficient to guarantee the quasi-transitive, pseudo-transitive and semi-order rationality of fuzzy choice functions but no longer to be necessary for the rationality, as is illustrated through an example.