Paper Info
Title
Arrow’s Axiom and Full Rationality for Fuzzy Choice Functions
Abstract
A classical result for crisp choice functions shows the equivalence between Arrow axiom and the property of full rationality. In this paper we study a fuzzy form of Arrow axiom formulated in terms of the subsethood degree and of the degree of equality (of fuzzy sets). We prove that a fuzzy choice function satisfies Fuzzy Arrow Axiom if and only if it is (fuzzy) full rational. We also show that these conditions are also equivalent with weak and strong fuzzy congruence axioms WFCA and SFCA. It is studied the Arrow index, a new concept that indicates the degree to which a fuzzy choice function satisfies the Fuzzy Arrow Axiom.
Year
DOI
Venue
2007
10.1007/s00355-006-0160-9
Social Choice and Welfare
Keywords
Field
DocType
fuzzy choice function,full rationality,arrow axiom,indexation,choice function,fuzzy set,satisfiability
Axiom of choice,Action axiom,Mathematical economics,Zermelo–Fraenkel set theory,Scott's trick,Fuzzy subalgebra,Constructive set theory,Fuzzy number,Mathematics,Choice function
Journal
Volume
Issue
ISSN
28
2
1432-217X
Citations 
PageRank 
References 
5
0.59
6
Authors
1
Name
Order
Citations
PageRank
Irina Georgescu17915.48