Paper Info
Title
Revealed Preference, Congruence and Rationality: A Fuzzy Approach
Abstract
In a previous paper connections between the congruence axioms WFCA, SFCA and the revealed preference axioms WAFRP, SAFRP for fuzzy choice functions whose domain contains the characteristic functions of pairs and of triples of alternatives have been studied. The first objective of this paper is to establish such connections for the case of arbitrary fuzzy choice functions. We introduce the new revealed preference axioms WAFRP$^o$, SAFRP$^o4, HAFRPand we prove two main theorems: 1. The axioms WFCA and WAFRP$^o$ are equivalent;2. The axioms SFCA and HAFRP are equivalent. Our second objective is to define G-rational, M-rational, G-normal and M-normal fuzzy choice functions and to investigate some of their properties. The notions and the results are formulated in terms of the residuum of the Gödel t-norm and the proofs use the residuated lattice structure of the interval [0,1].
Year
DOI
Venue
2005
10.5555/1227168.1227170
Fundam. Inform.
Keywords
Field
DocType
fuzzy approach,fuzzy choice function,m-normal fuzzy choice function,arbitrary fuzzy choice function,characteristic function,axioms sfca,congruence axiom,previous paper connection,revealed preference,main theorem,axioms wfca,preference axioms wafrp,normality,rationality
Residuated lattice,Discrete mathematics,Revealed preference,Gödel,Characteristic function (probability theory),Axiom,Fuzzy logic,Mathematical proof,Congruence (geometry),Mathematics
Journal
Volume
Issue
ISSN
65
4
0169-2968
Citations 
PageRank 
References 
5
0.73
2
Authors
1
Name
Order
Citations
PageRank
Irina Georgescu17915.48