A necessary and sufficient condition for the existence of Orlovsky's choice set
Fuzzy Sets and Systems
Journal of Mathematical Psychology
Rational choice under fuzzy preferences: the Orlovsky choice function
Fuzzy Sets and Systems
Fuzzy choice functions, revealed preference and rationality
Fuzzy Sets and Systems
Acyclic fuzzy preferences and the Orlovsky choice function: a note
Fuzzy Sets and Systems
Fuzzy preference and Orlovsky choice procedure
Fuzzy Sets and Systems
Revealed indifference and models of choice behavior
Journal of Mathematical Psychology
Fuzzy Choice Functions: A Revealed Preference Approach
Fuzzy Choice Functions: A Revealed Preference Approach
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The investigation of rationality plays a central role in the study of fuzzy choice functions. In this paper, we deal with some important rationality conditions of fuzzy choice functions, including Weak (Strong) Fuzzy Congruence Axiom, Weak (Strong) Axiom of Fuzzy Revealed Preference, fuzzy versions of famous crisp conditions @a, @b, @c and @d etc. in the framework of the Banerjee choice function. We systematically investigate the relationships between these conditions under the assumption that every involved choice set is normal and verify some equivalence results for arbitrary t-norms. As a result, a fuzzy version of the Arrow-Sen theorem is presented. The research makes a significant difference compared with the current investigation in the framework of the Georgescu choice function.