Interval choice: Classic and general cases
type: Item
instance of: scholarly article
title: Interval choice: Classic and general cases
zbMATH Open document ID: 0802.90002
DOI: 10.1016/0165-4896(93)90022-B
published in: Mathematical Social Sciences
publication date: 1994-05-05T00:00:00Z
review text: This paper surveys known results on interval choice, and presents new results on biorders. A binary relation \(P\) is a biorder if and only if there exist functions \(f\) and \(g\) such that \(xPy\) if and only if \(f(x)> g(y)\). A complete characterization of biorders in terms of numerical representation and rationality conditions is given. Biorders give a particularly nice interpretation of interval choice with non-negative error functions. The link between biorders and semiorders remains to be explored.
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91B14
zbMATH DE Number: 562721
zbMATH Keywords: interval choice
zbMATH Keywords: biorders
zbMATH Keywords: semiorders
author: R. P. Agaev
author: Fuad T. Aleskerov
MaRDI profile type: Publication
cites work: Q4692313
cites work: Some aspects of the general theory of best option choice
cites work: Interval choice of options and its decomposition
cites work: Threshold utility, choice, and binary relations
cites work: Rational Selection of Decision Functions
cites work: Q3994362
cites work: Biorder families, valued relations, and preference modelling
cites work: Composite measurement
cites work: Intransitive indifference with unequal indifference intervals
cites work: Semiorders and Choice Functions
cites work: Betweenness, orders and interval graphs
cites work: Semiorders and the Theory of Choice
cites work: Semiorders and a Theory of Utility Discrimination
cites work: Federations and transitive group choice
cites work: Q3291034
cites work: Path Independence, Rationality, and Social Choice
cites work: Q5804173
cites work: Choice functions, ''rationality'' conditions, and variations on the weak axiom of revealed preference
cites work: Q5635232
cites work: Rational Choice and Revealed Preference
full work available at URL: 0165-4896(93)90022-b
OpenAlex ID: W1993134447
description: scientific article; zbMATH DE number 562721