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Article Dans Une Revue Journal of Mathematical Psychology Année : 2004

'Additive difference' models without additivity and subtractivity

Résumé

This paper studies conjoint measurement models tolerating intransitivities that closely resemble Tversky's additive difference model while replacing additivity and subtractivity by mere decomposability requirements. We offer a complete axiomatic characterization of these models without having recourse to unnecessary structural assumptions on the set of objects. This shows the pure consequences of several cancellation conditions that have often be used in the analysis of more traditional conjoint measurement models. Our conjoint measurement models contain as particular cases most aggregation rules that have been proposed in the literature.
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Dates et versions

hal-00004105 , version 1 (31-01-2005)

Identifiants

  • HAL Id : hal-00004105 , version 1

Citer

Denis Bouyssou, Marc Pirlot. 'Additive difference' models without additivity and subtractivity. Journal of Mathematical Psychology, 2004, 48 (4), pp.263-291. ⟨hal-00004105⟩
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