Ordered categories and additive conjoint measurement on connected sets
Bouyssou, Denis; Marchant, Thierry (2009), Ordered categories and additive conjoint measurement on connected sets, Journal of Mathematical Psychology, 53, 2, p. 92-105. http://dx.doi.org/10.1016/j.jmp.2008.12.004
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Psychology
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Abstract (EN)Suppose that a binary relation is given on a n-fold Cartesian product. The study of the conditions guaranteeing the existence of n value functions such that the binary relation can be additively represented is known as additive conjoint measurement. In this paper we analyze a related problem: given a partition of a Cartesian product into r ordered categories, what conditions do ensure the representability of the partition in an additive model?
Subjects / KeywordsClassification; Conjoint measurement
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