Parametrized preference structures and some geometrical interpretation

János C. Fodor, Marc Roubens

Research output: Contribution to journalArticle

6 Citations (Scopus)


Order structures such as linear orders, semiorders and interval orders are often used to model preferences in decision-making problems. In this paper we introduce a family of preference structures where the mutual indifference threshold belongs to a specific family parametrized by extended reals α. This family includes interval orders (α=1), tangent circle orders (α=0) and a new preference structure called ‘diamond order’ (α=-∞). All these preference relations present an asymmetric part which is shown to be always quasi-transitive and to be transitive for α > 1. Diamond orders present ‘forbidden configurations’ which can occur in the case of tangent circle orders.

Original languageEnglish
Pages (from-to)253-258
Number of pages6
JournalJournal of Multi-Criteria Decision Analysis
Issue number5
Publication statusPublished - Sep 1997


  • Co-comparability orders
  • Intransitive preferences
  • Ordering
  • Preference modelling
  • Tangent circle orders

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Strategy and Management

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