Journal of Mathematical Psychology volume 48, issue 4, P263-291 2004 DOI: 10.1016/j.jmp.2004.04.002 View full text
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D. Bouyssou, M. Pirlot

Abstract: AbstractThis 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 been used in the analysis of more traditional conjoint mea…

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