Continuous representability of interval orders

Continuous representability of interval orders

In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability o...

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Main Authors: Juan C. Candeal, Esteban Induráin, M. Zudaire
Format: Article
Language:English
Published: Universitat Politècnica de València 2004-10-01
Series:Applied General Topology
Subjects:
Orderings on a set
Interval orders
Numerical representations of orderings
Continuous representations of orderings
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1971
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spelling doaj-7ca3fb823aed4fe790301a508b57ce172020-11-24T23:25:37ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472004-10-015221323010.4995/agt.2004.19711596Continuous representability of interval ordersJuan C. Candeal0Esteban Induráin1M. Zudaire2Universidad de ZaragozaUniversidad Pública de NavarraInstituto de Educación Secundaria BarañainIn the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.http://polipapers.upv.es/index.php/AGT/article/view/1971Orderings on a setInterval ordersNumerical representations of orderingsContinuous representations of orderings
collection DOAJ
language English
format Article
sources DOAJ
author Juan C. Candeal
Esteban Induráin
M. Zudaire
spellingShingle Juan C. Candeal
Esteban Induráin
M. Zudaire
Continuous representability of interval orders
Applied General Topology
Orderings on a set
Interval orders
Numerical representations of orderings
Continuous representations of orderings
author_facet Juan C. Candeal
Esteban Induráin
M. Zudaire
author_sort Juan C. Candeal
title Continuous representability of interval orders
title_short Continuous representability of interval orders
title_full Continuous representability of interval orders
title_fullStr Continuous representability of interval orders
title_full_unstemmed Continuous representability of interval orders
title_sort continuous representability of interval orders
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2004-10-01
description In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.
topic Orderings on a set
Interval orders
Numerical representations of orderings
Continuous representations of orderings
url http://polipapers.upv.es/index.php/AGT/article/view/1971
work_keys_str_mv AT juanccandeal continuousrepresentabilityofintervalorders
AT estebanindurain continuousrepresentabilityofintervalorders
AT mzudaire continuousrepresentabilityofintervalorders
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