Paper Info
Title
Arrow Index of a Fuzzy Choice Function
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 A(C) characterizes the degree to which C is full rational. We also obtain a method for computing 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.
Year
DOI
Venue
2010
10.3233/FI-2010-248
Fundam. Inform.
Keywords
Field
DocType
main result,fuzzy choice function,fuzzy version,decision problem,similarity,revealed preference indicator,classical arrow axiom,arrow index,congruence indica- tor,fuzzy arrow axiom,satisfiability,index,working paper,choice function,indexation,public choice,fuzzy sets
Discrete mathematics,Decision problem,Axiom,Fuzzy logic,Fuzzy mathematics,Fuzzy set,Fuzzy number,Type-2 fuzzy sets and systems,Mathematics,Choice function
Journal
Volume
Issue
ISSN
99
3
0169-2968
Citations 
PageRank 
References 
0
0.34
8
Authors
1
Name
Order
Citations
PageRank
Irina Georgescu17915.48