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Semiorder

In order theory, a branch of mathematics, a semiorder is a type of ordering for items with numerical scores, where items with widely differing scores are compared by their scores and where scores within a given margin of error are deemed incomparable. Semiorders were introduced and applied in mathematical psychology by Duncan Luce (1956) as a model of…

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Overview

Utility theory

Axiomatics

Relation to other kinds of order

Combinatorial enumeration

Other results

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Map overview Semantic statistics

Semiorder

Nodes38
Edges37
Triples55
Avg. degree1.95
Density0.052632
Components1

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Semiorder

Top relations

related to Further reading · 14
Semiorder → Decision Library, Dordrecht, ISBN, Kluwer Academic Publishers Group, Mathematical, MR, Ph, Pirlot, Properties, Semiorders, Series, Statistical Methods, Theory, Vincke
related to Partial orders · 10
Semiorder → Antisymmetry, Axiomatics, Conversely, Not, Of, One, The, Then, Therefore, Transitivity
related to Quasitransitive relations · 10
Semiorder → According, Amartya, Dean, Hasse, In, Jamison, Lau, Lawrence, Removing, Sen
related to Utility theory · 7
Semiorder → For, If, In, Set, The, Then, To
related to Axiomatics · 4
Semiorder → If, So, Therefore, Whenever
related to Weak orders · 3
Semiorder → Every, More, The
is a · 2
Semiorder → example of an interval order, type of ordering for items with numerical scores
related to Combinatorial enumeration · 2
Semiorder → Catalan, The
related to Other results · 2
Semiorder → Among, Any
related to Interval orders · 1
Semiorder → The

Important terminology Word statistics

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Important terminology

displaystyle order partial semiorders leq two utility relation incomparable ordering orders axioms elements may weak interval comparable defined every given

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Semiorderis atype of ordering for items with numerical scores0.90text
Semiorderis aexample of an interval order0.90text
Semiorderrelated to AxiomaticsWhenever0.60section
Semiorderrelated to AxiomaticsTherefore0.60section
Semiorderrelated to AxiomaticsIf0.60section
Semiorderrelated to AxiomaticsSo0.60section
Semiorderrelated to Combinatorial enumerationThe0.60section
Semiorderrelated to Combinatorial enumerationCatalan0.60section
Semiorderrelated to Further readingPirlot0.60section
Semiorderrelated to Further readingVincke0.60section
Semiorderrelated to Further readingPh0.60section
Semiorderrelated to Further readingSemiorders0.60section

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