Description of some relations on the set of real-line intervals

DOI10.1016/0022-2496(72)90030-2zbMath0236.06002OpenAlexW2063005241MaRDI QIDQ2552144

Boris G. Mirkin

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0022-2496(72)90030-2

Mathematics Subject Classification ID

Partial orders, general (06A06)

Related Items (18)

Biorder families, valued relations, and preference modelling ⋮ Inductive characterizations of finite interval orders and semiorders ⋮ INTERVAL-VALUED REPRESENTABILITY OF QUALITATIVE DATA: THE CONTINUOUS CASE ⋮ Chain dominated orders ⋮ A bijection between a set of lexicographic semiorders and pairs of non-crossing Dyck paths ⋮ Utility theory ⋮ The representation polyhedron of a semiorder. ⋮ A lexicographic semiorder polytope and probabilistic representations of choice ⋮ Restricted thresholds for interval orders: A case of nonaxiomatizability by a universal sentence ⋮ Arrow's theorem: Unusual domains and extended codomains ⋮ An extremal problem on crossing vectors. ⋮ Extended formulations for order polytopes through network flows ⋮ Threshold-Bounded Interval Orders and a Theory of Picycles ⋮ On incomplete preference structures ⋮ The dimension of semiorders ⋮ Interval representations for interval orders and semiorders ⋮ Interval lengths for interval orders: A minimization problem ⋮ Efficient and binary consensus functions on transitively valued relations

Cites Work

• Incidence matrices and interval graphs
• Intransitive indifference with unequal indifference intervals
• On nontransitive indifference
• Foundational aspects of theories of measurement
• Representation of a finite graph by a set of intervals on the real line
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