Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/29746 
Year of Publication: 
2009
Series/Report no.: 
DIW Discussion Papers No. 930
Publisher: 
Deutsches Institut für Wirtschaftsforschung (DIW), Berlin
Abstract: 
The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for computing A(C). The Arrow index allows to rank the fuzzy choice functions with respect to their rationality. Thus, if for solving a decision problem several fuzzy choice functions are proposed, by the Arrow index the most rational one will be chosen.
Subjects: 
Fuzzy choice function
revealed preference indicator
congruence indicator
similarity
Document Type: 
Working Paper

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