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Congruence Indicators for Fuzzy Choice Functions

Irina Georgescu, Congruence Indicators for Fuzzy Choice Functions. Social Choice and Welfare 30, 331–352, 2008.

Abstract:

We introduce the congruence indicators WFCA(.) and SFCA(.) corresponding to fuzzy congruence axioms WFCA and SFCA. These indicators measure the degree to which a fuzzy choice function verifies the axioms WFCA and SFCA respectively. The main result of the paper establishes for a given choice function the relationship between its congruence indicators and some rationality conditions. One obtains a fuzzy counterpart of the well-known Arrow-Sen theorem in crisp choice functions theory.

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BibTeX entry:

@ARTICLE{jGeorgescu08a,
  title = {Congruence Indicators for Fuzzy Choice Functions},
  author = {Georgescu, Irina},
  journal = {Social Choice and Welfare},
  volume = {30},
  pages = {331–352},
  year = {2008},
}

Belongs to TUCS Research Unit(s): Other

Publication Forum rating of this publication: level 2

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