On the Ferrers property of valued interval orders

• Susana Díaz ^[1] ; Bernard De Baets ^[2] ; Susana Montes ^[1]
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
  2. [2] Ghent University

     Ghent University

     Arrondissement Gent, Bélgica

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 19, Nº. 2, 2011, págs. 421-447
• Idioma: inglés
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• Resumen

  • We study the relationship between the Ferrers property and the notion of interval order in the context of valued relations. Given a crisp preference structure without incomparability, the strict preference relation satisfies the Ferrers property if and only if the associated weak preference relation does. These conditions characterize a total interval order. For valued relations the Ferrers property can be written in two different and non-equivalent ways. In this work, we compare these properties by finding the kind of completeness they imply. Moreover, we study whether they still characterize a valued total interval orders.