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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

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Type
Article accepté pour publication ou publié
Date
2009
Journal name
Journal of Mathematical Psychology
Volume
53
Number
2
Publisher
Academic Press
Pages
92-105
Publication identifier
Metadata
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Author(s)
Bouyssou, Denis cc
Marchant, Thierry
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 / Keywords
Classification; Conjoint measurement