caa a22 4500 463174569 CHVBK 20180406164822.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s00355-006-0160-9 doi (NATIONALLICENCE)springer-10.1007/s00355-006-0160-9 Georgescu Irina Turku Centre for Computer Science, Institute for Advanced Management Systems Research, Ȧbo Akademi University, Lemminkäisenkatu 14, 20520, Turku, Finland aut Arrow's Axiom and Full Rationality for Fuzzy Choice Functions [Elektronische Daten] [Irina Georgescu] A classical result for crisp choice functions shows the equivalence between Arrow axiom and the property of full rationality. In this paper we study a fuzzy form of Arrow axiom formulated in terms of the subsethood degree and of the degree of equality (of fuzzy sets). We prove that a fuzzy choice function satisfies Fuzzy Arrow Axiom if and only if it is (fuzzy) full rational. We also show that these conditions are also equivalent with weak and strong fuzzy congruence axioms WFCA and SFCA. It is studied the Arrow index, a new concept that indicates the degree to which a fuzzy choice function satisfies the Fuzzy Arrow Axiom. Springer-Verlag, 2006 Social Choice and Welfare Springer-Verlag 28/2(2007-02-01), 303-319 0176-1714 28:2<303 2007 28 355 https://doi.org/10.1007/s00355-006-0160-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00355-006-0160-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Georgescu Irina Turku Centre for Computer Science, Institute for Advanced Management Systems Research, Ȧbo Akademi University, Lemminkäisenkatu 14, 20520, Turku, Finland aut NATIONALLICENCE 773 0- Social Choice and Welfare Springer-Verlag 28/2(2007-02-01), 303-319 0176-1714 28:2<303 2007 28 355 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer