Numerical representations of interval orders

被引：39

作者：

Bosi, G

Candeal, JC

Induráin, E

Oloriz, E

Zudaire, M

机构：

[1] Univ Trieste, Dept Appl Math Bruno de Finetti, I-34127 Trieste, Italy

[2] Univ Zaragoza, Dept Anal Econ, E-50005 Zaragoza, Spain

[3] Univ Publ Navarra, Dept Matemat & Informat, E-31006 Pamplona, Spain

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2001年 / 18卷 / 02期

关键词：

orderings on a set; interval-orders; numerical representations of orderings;

D O I：

10.1023/A:1011974420295

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 real-valued functions. We obtain a list of characterizations of the existence of a representation, showing that the three main techniques that have been used in the literature to achieve numerical representations of interval orders are indeed equivalent.

引用

页码：171 / 190

页数：20

共 23 条

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[Anonymous], FUNCTIONAL EQUATIONS

[2]

[Anonymous], 1995, REPRESENTATIONS PREF

[3] REPRESENTING PREFERENCES WITH NONTRANSITIVE INDIFFERENCE BY A SINGLE REAL-VALUED FUNCTION [J].