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Preservation of Revealed Preference and Congruence Indicators by Similarity

Irina Georgescu, Preservation of Revealed Preference and Congruence Indicators by Similarity. TUCS Technical Reports 885, Turku Centre for Computer Science, 2008.

Abstract:

The revealed preference axioms $WAFRP$, $SAFRP$ and the congruence
axioms $WFCA$, $SFCA$ are conditions which appear in the study of
the rationality of fuzzy choices. The indicators of revealed
preference $WAFRP(C)$, $SAFRP(C)$ and the indicators of congruence
$WFCA(C)$, $SFCA(C)$ express the degree to which a fuzzy choice
function $C$ verifies each of these conditions.

In this paper these indicators are related to the similarity of
fuzzy choice functions. The main result establishes the way the
indicators $WAFRP(C)$, $SAFRP(C)$, $WFCA(C)$, $SFCA(C)$ are
preserved by the similarity.

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BibTeX entry:

@TECHREPORT{tGeorgescu08g,
  title = {Preservation of Revealed Preference and Congruence Indicators by Similarity},
  author = {Georgescu, Irina},
  number = {885},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2008},
  keywords = {fuzzy choice function, revealed preference, similarity relation},
  ISBN = {978-952-12-2072-2},
}

Belongs to TUCS Research Unit(s): Other

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