Title
Consistency conditions in fuzzy consumers theory
Abstract
This paper is concerned with consistency properties for fuzzy consumers. We introduce the consistency conditions Fα, Fβ, Fδ as fuzzy forms of Sen's properties α, β and δ. Other consistency conditions are also studied: Fα2, Fβ(+), Fγ2 and FPI. The main results are: (1) A fuzzy consumer verifies Fα, Fβ if and only if the congruence axiom WFCA holds; (2) If h is a normal fuzzy consumer then Fδ holds if and only if the associated fuzzy preference relation R is quasi-transitive; (3) A fuzzy consumer is normal if and only if conditions Fα, Fβ Fγ2 hold.
Year
Venue
Keywords
2004
Fundam. Inform.
fuzzy consumer verifies f,congruence axiom,fuzzy consumer,consistency conditions,conditions f,fuzzy form,fuzzy preference relation r,fuzzy consumers theory,consistency conditions f,consistency condition,consistency property,normal fuzzy consumer,properties alpha
DocType
Volume
Issue
Journal
61
3
ISSN
Citations 
PageRank 
0169-2968
8
0.95
References 
Authors
1
1
Name
Order
Citations
PageRank
Irina Georgescu17915.48