On the Ferrers property of valued interval orders

  1. Susana Díaz 1
  2. Bernard De Baets 2
  3. Susana Montes 1
  1. 1 Universidad de Oviedo, España
  2. 2 Ghent University, Bélgica
Revista:
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ISSN: 1863-8279,  1134-5764

Año de publicación: 2011

Volumen: 19

Número: 2

Páginas: 421-447

Tipo: Artículo

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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.

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Información de financiación

The research reported on in this paper has been partially supported by Project FEDER-MEC-MTM2007-61193.

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