Conditions equivalent to unit representations of ordered relational structures

DOI10.1006/jmps.1999.1293zbMath0993.06015OpenAlexW2000460037WikidataQ47582719 ScholiaQ47582719MaRDI QIDQ1598973

R. Duncan Luce

Publication date: 26 September 2002

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/70eb9e5e582101aed2a3a66646e6327caaa2d95b

zbMATH Keywords

automorphism grouphomogeneitydilationsmeasurement theoryinfinitesimalsArchimedean ordered groupscale typenumerical representationAlper-Narens theoremlinearly ordered relational structures

Mathematics Subject Classification ID

Measurement theory in the social and behavioral sciences (91C05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Measurement and performance in psychology (91E45)

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On an algebraic definition of laws ⋮ Generalized factorizable automorphisms in \(n\)-component conjoint structures. ⋮ Scale type \((N,N)\) and an order-based topology induced on the automorphism group

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