Consistency Conditions for Fuzzy Choice Functions

The revealed preference is a central subject in classical consumer theory. Authors like Samuelson, Arrow, Richter, Sen, Uzawa and others have proposed an axiomatic setting of revealed preference theory. Consequently revealed preference axioms WARP and SARP and congruence axioms WCA and SCA have been considered. An important theorem of Arrow-Sen establishes the equivalence between these axioms provided the family of budgets includes all non-empty finite sets of alternatives. Fuzzy choice functions is a topic that appears in a lot of papers. Particularly, Banerjee studies in fuzzy context axioms of revealed preference and congruence extending some results of Arrow and Sen. In this paper we modify the Banerjee definition of a fuzzy choice function and we study fuzzy versions of the axioms of revealed preference and congruence. Banerjee fuzzifies only the range of a consumer; we use a fuzzification of both the domain and the range of a consumer. The axioms WAFRP, SAFRP, WFCA, SFCA gen...

• Type: Conference
• Year: 2004
• Where: FUZZY
• Authors: Irina Georgescu
• Keywords: Artificial Intelligence, Congruence Axiom, FUZZY 2004, Fuzzy Choice Function, Revealed Preference