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Nontransitive Decomposable Conjoint Measurement (2002)
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BibTeX
@MISC{Bouyssou02nontransitivedecomposable,
author = {D. Bouyssou and M. Pirlot},
title = {Nontransitive Decomposable Conjoint Measurement},
year = {2002}
}
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Abstract
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 nontransitve decomposable conjoint measurement models encompass a large number of aggregation rules that have been introduced in the literature.
Keyphrases
traditional model nontransitive decomposable conjoint measurement aggregation rule several cancellation condition pure consequence nontransitive preference simple axiomatic treatment nontransitve decomposable conjoint measurement model mere decomposability requirement conjoint measurement look large number transitive preference decomposable conjoint measurement model nontransitive additive conjoint measurement model conjoint measurement model additive representation additivity feature
