Nontransitive Decomposable Conjoint Measurement
Bouyssou, Denis; Pirlot, Marc (2002), Nontransitive Decomposable Conjoint Measurement, Journal of Mathematical Psychology, 46, 6, p. 677-703. http://dx.doi.org/10.1006/jmps.2002.1419
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Psychology
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Abstract (EN)Traditional 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 nontransitive decomposable conjoint measurement models encompass a large number of aggregation rules that have been introduced in the literature.
Subjects / Keywordsnontransitive preferences; decomposable models; cancellations conditions; conjoint measurement
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