Arrow`s theorem under fuzzy rationality



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Montero, Javier (1987) Arrow`s theorem under fuzzy rationality. Behavioral Science, 32 . pp. 267-273. ISSN 0005-7940

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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

Item Type:Article
Uncontrolled Keywords:Organism;group; Acyclity;fuzzy sets; Group decision making
Subjects:Sciences > Mathematics > Operations research
ID Code:29848
Deposited On:05 May 2015 09:14
Last Modified:18 Apr 2016 17:58

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