We introduce the congruence indicators WFCA(·) and SFCA(·) corresponding to fuzzy congruence axioms WFCA and SFCA. These indicators measure the degree to which a fuzzy choice function verifies the axioms WFCA and SFCA, respectively. The main result of the paper establishes for a given choice function the relationship between its congruence indicators and some rationality conditions. One obtains a fuzzy counterpart of the well-known Arrow–Sen theorem in crisp choice functions theory.
机构:
Acad Econ Studies, Dept Econ Cybernet, Piala Romana Nr 6,official Postal 22, Bucharest R-70167, RomaniaAcad Econ Studies, Dept Econ Cybernet, Piala Romana Nr 6,official Postal 22, Bucharest R-70167, Romania