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The Arrow Index for Fuzzy Choice Functions

Irina Georgescu, The Arrow Index for Fuzzy Choice Functions. TUCS Technical Reports 880, Turku Centre for Computer Science, 2008.

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 $\mathcal{A}(C)$ characterizes the degree to which $C$ is
full rational. We also obtain a method for computing
$\mathcal{A}(C)$. 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.

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BibTeX entry:

@TECHREPORT{tGeorgescu08d,
  title = {The Arrow Index for Fuzzy Choice Functions},
  author = {Georgescu, Irina},
  number = {880},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2008},
  keywords = {fuzzy choice function, revealed preference indicator,},
  ISBN = {978-952-12-2058-6},
}

Belongs to TUCS Research Unit(s): Other

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