Pseudo-orders: Definition, properties and numerical representation

DOI10.1016/0165-4896(87)90005-9zbMath0628.90001OpenAlexW2043691582MaRDI QIDQ1093500

Philippe Vincke, Bernard Roy

Publication date: 1987

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-4896(87)90005-9

zbMATH Keywords

thresholdsfunctional representationcomplete preorderspseudo-ordersemi-orders

Mathematics Subject Classification ID

Individual preferences (91B08) Ordered sets (06A99)

Related Items (11)

Biorder families, valued relations, and preference modelling ⋮ ON THE IMPLEMENTATION OF PREFERENCE RELATIONAL SYSTEMS IN A COMPUTER-AIDED DECISION SUPPORT SYSTEM ⋮ Threshold Representations of Multiple Semiorders ⋮ A non‐compensatory approach for trace clustering ⋮ Improving the non‐compensatory trace‐clustering decision process ⋮ Bi-semiorders with frontiers on finite sets ⋮ On the Ferrers property of valued interval orders ⋮ Biorders with frontier ⋮ The use of fuzzy outranking relations in preference modelling ⋮ On the relations between ELECTRE TRI-B and ELECTRE TRI-C and on a new variant of ELECTRE TRI-B ⋮ Minimal representation of a semiorder

Cites Work

• Linear orders and semiorders close to an interval order
• Preference modelling
• Biorder families, valued relations, and preference modelling
• Linear fuzzy graphs
• Composite measurement
• Intransitive indifference with unequal indifference intervals
• Homogeneous families of semiorders and the theory of probabilistic consistency
• Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results
• Semiorders and a Theory of Utility Discrimination
• A Probabilistic Theory of Utility
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