Consistency conditions in fuzzy consumers theory

Authors:
Irina Georgescu
Affiliations:
Turku Centre for Computer Science, Institute for Advanced Management Systems Research, Lemminkäisenkatu 14, FIN-20520 Turku, Finland
Venue:
Fundamenta Informaticae
Year:
2003

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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.