Unified representability of total preorders and interval orders through a single function: the lattice approach
type: Item
instance of: scholarly article
title: Unified representability of total preorders and interval orders through a single function: the lattice approach
zbMATH Open document ID: 1172.54023
author: Gianni Bosi
author: Javier Gutiérrez García
author: Esteban Induraín
published in: Order
publication date: 2009-09-14T00:00:00Z
review text: The authors introduce a new approach that deals in a unified manner with the numerical (continuous) representability of total preorders and interval orders. Their method relies on increasing scales and the use of a particular kind of codomain that has the structure of a completely distributive lattice and allows them to use a single function (taking values in that codomain) in order to represent both kinds of binary relations. They state that it remains an open problem to develop a similar theory for semiorders.
Mathematics Subject Classification ID: 54F05
zbMATH DE Number: 5603897
zbMATH Keywords: total preorder
zbMATH Keywords: interval order
zbMATH Keywords: completely distributive lattice
zbMATH Keywords: scale
zbMATH Keywords: continuous representability
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
full work available at URL: s11083-009-9124-x
OpenAlex ID: W2056834370
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DOI: 10.1007/S11083-009-9124-X
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description: scientific article; zbMATH DE number 5603897