Ordinal scales in the theory of measurement
type: Item
instance of: scholarly article
title: Ordinal scales in the theory of measurement
zbMATH Open document ID: 0616.92012
DOI: 10.1016/0022-2496(87)90036-8
published in: Journal of Mathematical Psychology
publication date: 1987-01-01T00:00:00Z
review text: In the paper a new comparison criterion for a consistent assignment of real numbers to the elements of an empirical structure (usually called as scales in the theory of measurement) defined in sets ordered by a transitive, asymmetric binary relation is introduced, and complete characterisation of the structure of all equivalence classes of scales of such sets is given. Conditions for extendability of order-preserving functions defined on arbitrary subsets of the set \({\mathbb{R}}\) of real numbers with values in the same set to order-preserving functions defined on all of \({\mathbb{R}}\) are given.
Mathematics Subject Classification ID: 91E99
Mathematics Subject Classification ID: 06A99
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 3999732
zbMATH Keywords: ordinal scales
zbMATH Keywords: scales of weakly ordered sets
zbMATH Keywords: order-automorphism
zbMATH Keywords: new comparison criterion
zbMATH Keywords: theory of measurement
zbMATH Keywords: transitive
zbMATH Keywords: asymmetric binary relation
zbMATH Keywords: equivalence classes of scales
zbMATH Keywords: extendability of order- preserving functions
author: Manfred Droste
MaRDI profile type: Publication
full work available at URL: 0022-2496(87)90036-8
OpenAlex ID: W1980971289
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description: scientific article; zbMATH DE number 3999732