Ordered categories and additive conjoint measurement on connected sets |
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| Authors: | D Bouyssou T Marchant |
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| Institution: | a CNRS - LAMSADE, Université Paris Dauphine, F-75775 Paris Cedex 16, France
b Ghent University, Dunantlaan 1, 9000 Ghent, Belgium |
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| Abstract: | 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? |
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| Keywords: | Classification Conjoint measurement |
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