Some algebraic characterizations of preference structures

DOI10.1080/09720502.2004.10700371zbMath1172.91310OpenAlexW2087162254MaRDI QIDQ5756366

Carlos Rodriguez-Palmero, José Luis García-Lapresta

Publication date: 4 September 2007

Published in: Journal of Interdisciplinary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720502.2004.10700371

zbMATH Keywords

acyclicitytransitivityinterval orderssemiorderspreference modelingquasitransitivitycomposition of binary relations

Mathematics Subject Classification ID

Decision theory (91B06) Individual preferences (91B08)

Related Items (4)

Characterization of Complete Fuzzy Preorders Defined by Archimedean t-Norms ⋮ Consistent models of transitivity for reciprocal preferences on a finite ordinal scale ⋮ Algebraic Representation, Dualities and Beyond ⋮ Modeling rationality in a linguistic framework

Cites Work

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• Semiorders and collective choice
• Continuous representation of a preference relation on a connected topological space
• Collective rationality and dictatorship: The scope of the Arrow theorem
• Transitivity revisited
• Nontransitive preferences in decision theory
• Intransitive indifference with unequal indifference intervals
• Semiorders and a Theory of Utility Discrimination
• Foundational aspects of theories of measurement
• Social Choice Theory: A Re-Examination
• Transitivity
• The Relationship Between Transitive Preference and the Structure of the Choice Space
• Quasi-Transitivity, Rational Choice and Collective Decisions

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