A note on real measurement structures of scale type \((m,m+1)\)
type: Item
instance of: scholarly article
title: A note on real measurement structures of scale type \((m,m+1)\)
zbMATH Open document ID: 0602.92022
DOI: 10.1016/0022-2496(85)90019-7
author: Theodore M. Alper
published in: Journal of Mathematical Psychology
publication date: 1985-01-01T00:00:00Z
review text: A characterization of real relational structures of scale type (1,2) is given (in Theorem 1), and the fact that there are no real relational structures of the scale type \((m,m+1)\) for \(m\geq 2\) is proved (Theorem 2).
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 91E99
Mathematics Subject Classification ID: 20B27
zbMATH DE Number: 3972707
zbMATH Keywords: real measurement structures
zbMATH Keywords: induced automorphism group
zbMATH Keywords: affine group
zbMATH Keywords: group of translations
zbMATH Keywords: characterization of real relational structures of scale type (1,2)
zbMATH Keywords: real relational structures of the scale type \((m,m+1)\)
Wikidata QID: Q56432212
MaRDI profile type: Publication
full work available at URL: 0022-2496(85)90019-7
OpenAlex ID: W2025068566
cites work: Q5509706
cites work: Q5639713
cites work: Classification of concatenation measurement structures according to scale type
cites work: A general theory of ratio scalability with remarks about the measurement- theoretic concept of meaningfulness
cites work: On the scales of measurement
cites work: Homöomorphismengruppen der reellen Zahlengeraden mit wenig Fixpunkten
description: scientific article; zbMATH DE number 3972707