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ON THE ORDER–COMPLETION OF ADDITIVE CONJOINT STRUCTURES

By F. Vogt

Abstract

Abstract. Measurement theory provides additive conjoint structures for additive representations of empirical data. Roughly, an additive conjoint structure is a product of (quasi)ordered sets with some properties connecting the different factors of the product. Well-known Debreu’s Theorem says that every additive conjoint structure can be embedded in a vector space over the real numbers. This embedding yields a completion of the additive conjoint structure where every factor becomes a complete lattice. This paper introduces a synthetical way of constructing this completion without using real numbers. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.319.8413
Provided by: CiteSeerX
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