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

Bouyssou, Denis; Pirlot, Marc (2005), Following the traces: An introduction to conjoint measurement without transitivity and additivity, European Journal of Operational Research, 163, 2, p. 287-337. http://dx.doi.org/10.1016/j.ejor.2003.11.019

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Type
Article accepté pour publication ou publié
Date
2005
Journal name
European Journal of Operational Research
Volume
163
Number
2
Publisher
Elsevier
Pages
287-337
Publication identifier
Metadata
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Author(s)
Bouyssou, Denis cc
Pirlot, Marc
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.
Subjects / Keywords
Multiple criteria analysis; Decision analysis; Measurement theory; Conjoint measurement; Nontransitive preferences