Nontransitive decomposable conjoint measurement

By D. Bouyssou, M. Pirlot. 2002

79 citations recorded by the source corpus.

Traditional models of conjoint measurement look for an additive representation of transitive preferences. They have been generalized in two directions. Nontransitive additive conjoint measurement models allow for nontransitive preferences while retaining the additivity feature of traditional models. Decomposable conjoint measurement models are transitive but replace additivity by a mere decomposability requirement. This paper presents generalizations of conjoint measurement models combining these two aspects. This allows us to propose a simple axiomatic treatment that shows the pure consequences of several cancellation conditions used in traditional models. These nontransitive decomposable conjoint measurement models encompass a large number of aggregation rules that have been introduced in the literature.

Subfields: Economics and Econometrics, General Decision Sciences, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/b745f7d9d9aeb664094126adef991e5a4883faa4

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In Economics and Econometrics

  1. Kirsten I. M. Rohde

In General Decision Sciences

  1. Kirsten I. M. Rohde

In Management Science and Operations Research

  1. Kirsten I. M. Rohde

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