On families of semiorders and interval orders imbedded in a valued structure of preference: A survey
type: Item
instance of: scholarly article
title: On families of semiorders and interval orders imbedded in a valued structure of preference: A survey
zbMATH Open document ID: 0575.90002
DOI: 10.1016/0020-0255(84)90024-0
author: Marc Roubens
author: Philippe Vincke
published in: Information Sciences
publication date: 1984-01-01T00:00:00Z
review text: The paper presents all the families of semiorders and interval orders that can be built up on the basis of some valued preference relations. Some of these families (called row and column-homogeneous) generalize the homogeneous families of semiorders studied by \textit{F. S. Roberts} [J. Math. Psychol. 8, 248-263 (1971; Zbl 0223.92017)] and include the \(\{P_{\lambda}\}\) families studied by \textit{P. C. Fishburn} [ibid. 10, 327-352 (1973; Zbl 0277.92008)]. The families are then examined from the view point of interval representation models, also called ''threshold models''.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 3920151
zbMATH Keywords: semiorders
zbMATH Keywords: interval orders
zbMATH Keywords: valued preference relations
zbMATH Keywords: threshold models
MaRDI profile type: Publication
full work available at URL: 0020-0255(84)90024-0
OpenAlex ID: W2080583176
cites work: Q3329273
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description: scientific article; zbMATH DE number 3920151