Continuous representability of interval orders and biorders

DOI10.1016/j.jmp.2006.10.005zbMath1114.06001OpenAlexW2076308462MaRDI QIDQ882302

Esteban Induráin, Gianni Bosi, Juan Carlos Candeal

Publication date: 23 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmp.2006.10.005

zbMATH Keywords

interval ordersbiorderscontinuous representabilityorderings on a set

Mathematics Subject Classification ID

Partial orders, general (06A06)

Related Items (12)

FURTHER RESULTS ON THE CONTINUOUS REPRESENTABILITY OF SEMIORDERS ⋮ Continuous Representability of Interval Orders: The Topological Compatibility Setting ⋮ Generalized Debreu's open gap lemma and continuous representability of biorders ⋮ Some results on biordered structures, in particular distributed systems ⋮ Continuous representations of interval orders by means of two continuous functions ⋮ A representation of interval orders through a bi-utility function ⋮ Open Questions in Utility Theory ⋮ Representations of Interval Orders on Connected Separable Topological Spaces ⋮ Searching for a Debreu’s Open Gap Lemma for Semiorders ⋮ Upper semicontinuous representations of interval orders ⋮ Generalized homothetic biorders ⋮ Pointwise Debreu lexicographic powers

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• Intransitive indifference with unequal indifference intervals
• Betweenness, orders and interval graphs
• Interval representations for interval orders and semiorders
• Semiorders and a Theory of Utility Discrimination
• Continuous representability of interval orders

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