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Arrow Index of Fuzzy Choice Function

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  • Irina Georgescu

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.

Suggested Citation

  • Irina Georgescu, 2009. "Arrow Index of Fuzzy Choice Function," Discussion Papers of DIW Berlin 930, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp930
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    Keywords

    Fuzzy choice function; revealed preference indicator; congruence indicator; similarity;
    All these keywords.

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