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Following the traces: An introduction to conjoint measurement without transitivity and additivity

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Traces.pdf (550.6Kb)
Date
2005
Dewey
Recherche opérationnelle
Sujet
Multiple criteria analysis; Decision analysis; Measurement theory; Conjoint measurement; Nontransitive preferences
Journal issue
European Journal of Operational Research
Volume
163
Number
2
Publication date
2005
Article pages
287-337
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.ejor.2003.11.019
URI
https://basepub.dauphine.fr/handle/123456789/3047
Collections
  • LAMSADE : Publications
Metadata
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Author
Bouyssou, Denis
Pirlot, Marc
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper presents a self-contained introduction to a general conjoint measurement framework for the analysis of nontransitive and/or incomplete binary relations on product sets. It is based on the use of several kinds of marginal traces on coordinates induced by the binary relation. This framework leads to defining three general families of models depending on the kind of trace that they use. Contrary to most conjoint measurement models, these models do not involve an addition operation. This allows for a simple axiomatic analysis at the cost of very weak uniqueness results.

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