On Q-rationality of Fuzzy Choice Functions on Base Domains

Many researchers have studied the rationality of fuzzy choice functions with transitive rationalization. However, not much is known when transitivity is weakened to quasi-transitivity or any other weaker property of the preference relation. In the present paper we study the rationality of fuzzy choice functions with quasi-transitive rationalization for the domains that contain characteristic functions of all single and two element subsets of the universal set.