Abstract
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.
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Georgescu, I. Congruence indicators for fuzzy choice functions. Soc Choice Welfare 30, 331–352 (2008). https://doi.org/10.1007/s00355-007-0233-4
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DOI: https://doi.org/10.1007/s00355-007-0233-4