Generalized homothetic biorders

DOI10.1016/j.disc.2008.10.011zbMath1188.06003OpenAlexW2052598533MaRDI QIDQ1043546

Bertrand Lemaire, Marc Le Menestrel

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.10.011

zbMATH Keywords

independencesemigrouppositivityinterval orderintransitive indifferenceweak orderArchimedean propertybiorder\(\mathbb N^*\)-set

Mathematics Subject Classification ID

Measurement theory in the social and behavioral sciences (91C05) Measurement and performance in psychology (91E45) Generalizations of ordered sets (06A75)

Cites Work

• Real interval representations
• Existence of homogeneous representations of interval orders on a cone in a topological vector space
• Tangent circle graphs and `orders'
• Continuous representability of interval orders and biorders
• On realizable biorders and the biorder dimension of a relation
• Generalizations of semiorders: A review note
• Biased extensive measurement: the homogeneous case.
• Utility representation via additive or multiplicative error functions.
• Archimedeaness and additive utility on totally ordered semigroups
• Nontransitive preferences in decision theory
• Ratio-scale measurement with intransitivity or incompleteness: the homogeneous case
• Homothetic interval orders
• Composite measurement
• Utility Maximization, Choice and Preference

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