Unified Representability of Total Preorders and Interval Orders through a Single Function: The Lattice Approach

被引：0
作者：
Gianni Bosi
Javier Gutiérrez García
Esteban Induráin
机构：
[1] Universitá di Trieste,Dipartimento di Matematica Applicata “Bruno de Finetti”
[2] Universidad del País Vasco-Euskal Herriko Unibertsitatea,Departamento de Matemáticas
[3] Universidad Pública de Navarra,Departamento de Matemáticas
来源：
Order | 2009年 / 26卷
关键词：
Total preorder; Interval order; Completely distributive lattice; Scale; Continuous representability; 54F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a new approach that deals, jointly and in a unified manner, with the topics of numerical (continuous) representability of total preorders and interval orders. This setting is based on the consideration of increasing scales and the systematic use of a particular kind of codomain, that has a key lattice theoretical structure of a completely distributive lattice and allows us to use a single function (taking values in that codomain) in order to represent both kinds of binary relations.
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页码：255 / 275
页数：20
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