RT Journal Article T1 Arrow`s theorem under fuzzy rationality A1 Montero De Juan, Francisco Javier AB This paper deals with living systems at the individual and group levels. In particular, fuzzy set theory is applied to study Arrow's paradox in aggregation preference problems: such impossibility theorems are based on using the Aristotelian logic; thus Lukasievicz's censure to sciences founded on that logic is also fully applicable. In this paper we deal with “rationality” as a fuzzy property, by suggesting a definition of “fuzzy opinion” different from the classical fuzzy preference relation. Whenever this definition is applied, Arrow's theorems are deemed as results about the impossibility of complete rationality. Nevertheless, the possibility of proving the existence of rules with non-complete irrationality is revealed PB Wiley online library SN 0005-7940 YR 1987 FD 1987 LK https://hdl.handle.net/20.500.14352/64969 UL https://hdl.handle.net/20.500.14352/64969 LA eng NO De Juan, J.M.: Arrow’s theorem under fuzzy rationality. Syst. Res. 32, 267-273 (1987). https://doi.org/10.1002/bs.3830320403 DS Docta Complutense RD 9 abr 2025