
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
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Article accepté pour publication ou publiéDate
2002Journal name
Journal of Mathematical PsychologyVolume
46Number
6Publisher
Academic Press
Pages
677-703
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Metadata
Show full item recordAbstract (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 / Keywords
nontransitive preferences; decomposable models; cancellations conditions; conjoint measurementRelated items
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Pirlot, Marc; Bouyssou, Denis (2005) Chapitre d'ouvrage
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Bouyssou, Denis; Pirlot, Marc (2009) Chapitre d'ouvrage
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Bouyssou, Denis; Pirlot, Marc (2005) Article accepté pour publication ou publié
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Pirlot, Marc; Marchant, Thierry; Bouyssou, Denis (2009) Chapitre d'ouvrage
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Bouyssou, Denis; Marchant, Thierry (2008) Document de travail / Working paper