No abstract

No abstract

No abstract

1 We wish to thank M. Abdellaoui, J.-P. Doignon, Ch. Gonzales, Th. Marchant, P.P. Wakker and an anonymous referee for their very helpful suggestions and comments on earlier drafts of this text. The usual caveat applies. Denis Bouyssou gratefully acknowledges the support of the Centre de Recherche de l'ESSEC and the Brussels-Capital Region through a "Research in Brussels" action grant. AbstractTraditional models of conjoint measurement look for an additive representation of transitive preferences. They have been generalized in two directions. Nontransitive additive conjoint measurement models allow for nontransitive preferences while retaining the additivity feature of traditional models. Decomposable conjoint measurement models are transitive but replace additivity by a mere decomposability requirement. This paper presents generalizations of conjoint measurement models combining these two aspects. This allows us to propose a simple axiomatic treatment that shows the pure consequences of several cancellation conditions used in traditional models. These nontransitve decomposable conjoint measurement models encompass a large number of aggregation rules that have been introduced in the literature.