Paper Info
Title
Consistency indicators for fuzzy choice functions
Abstract
For a fuzzy choice function C we study two consistency indicators Fα(C), Fβ(C) and a congruence indicator WFCA(C). The indicators Fα(C) and Fβ(C) express the degree to which C verifies the extension to the fuzzy case of Sen's conditions α and β, while WFCA(C) evaluates the degree to which C verifies the weak fuzzy congruence axiom WFCA. The main result of the paper shows that WFCA(C) is the minimum of Fα(C) and Fβ(C). The three indicators can be used for obtaining a hierarchy of a class of fuzzy choice functions.
Year
DOI
Venue
2007
10.1016/j.mathsocsci.2006.09.001
Mathematical Social Sciences
Keywords
Field
DocType
Fuzzy choice function,Revealed preference,Consistency indicators,Congruence indicator
Mathematical economics,Rationality,Axiom,Fuzzy logic,Fuzzy subset,Fuzzy preference relation,Congruence (geometry),Mathematics,Choice function
Journal
Volume
Issue
ISSN
53
1
0165-4896
Citations 
PageRank 
References 
2
0.46
5
Authors
1
Name
Order
Citations
PageRank
Irina Georgescu17915.48