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New Revealed Preference Indicators of Fuzzy Choise Functions

Irina Georgescu, New Revealed Preference Indicators of Fuzzy Choise Functions. TUCS Technical Reports 894, Turku Centre for Computer Science, 2008.

Abstract:

The axioms $WAFRP$, $SAFRP$ (resp. $WFCA$, $SFCA$) are fuzzy
versions of the axioms of revealed preference $WARP$, $SARP$ (resp.
of the congruence axioms $WCA$, $SCA$) of classic theory of revealed
preference. The revealed preference indicators $WAFRP(C)$,
$SAFRP(C)$, $WFCA(C)$ and $SFCA(C)$ of a fuzzy choice function $C$
were introduced in a previous paper in order to express the degree
to which $C$ verifies the axioms $WAFRP$, $SAFRP$, $WFCA$ and
$SFCA$. In this paper we shall define the new revealed preference
indicators $WAFRP^\circ(C)$, $HAFRP(C)$ corresponding to the axioms
$WAFRP^\circ$, $HAFRP$ from fuzzy revealed preference theory. We
shall prove two main results: (1) $WAFRP^\circ(C)=WFCA(C)$; (2)
$HAFRP(C)=SFCA(C)$. They extend in terms of numerical indicators two
known theorems of Hansson and Suzumura of classic theory of choice
functions.

BibTeX entry:

@TECHREPORT{tGeorgescu08h,
  title = {New Revealed Preference Indicators of Fuzzy Choise Functions},
  author = {Georgescu, Irina},
  number = {894},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2008},
  keywords = {fuzzy choice function, revealed preference, revealed preference indicators },
  ISBN = {978-952-12-2100-2},
}

Belongs to TUCS Research Unit(s): Other

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