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Rational aggregation rules.

Montero de Juan, Francisco Javier (1994) Rational aggregation rules. Fuzzy Sets and Systems, 62 (3). pp. 267-276. ISSN 0165-0114

Official URL: http://www.sciencedirect.com/science/article/pii/0165011494901104

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Abstract

This paper deals with the aggregation of individual fuzzy preference relations. The idea behind a democratic fuzzy aggregation rule is in the first place related to the concepts of individual power and social consensus, and it is pointed out that the translation into this context of Arrow's Theorem should be made not only requiring some appropriate ethical conditions, but also making reference to some kind of underlying rationality. Due to the existence in practice of intermediate states between extreme rationality and extreme irrationality, a fuzzy treatment of irrationality may appear sometimes to be more realistic than a crisp concept of pure rationality. In this paper, a particular measure for the degree of rationality of fuzzy preferences is assumed in a basic Arrow-like model, and a sufficient condition for non absolutely irrational (N.A.I.) aggregation rules is obtained.

Item Type:Article
Uncontrolled Keywords:Group decision making; Aggregation of individual fuzzy preference relations
Subjects:Sciences > Mathematics > Operations research
Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:16833
Deposited On:24 Oct 2012 09:15
Last Modified:24 Oct 2012 09:15

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