A note on real measurement structures of scale type \((m,m+1)\)

DOI10.1016/0022-2496(85)90019-7zbMath0602.92022OpenAlexW2025068566WikidataQ56432212 ScholiaQ56432212MaRDI QIDQ1082298

Theodore M. Alper

Publication date: 1985

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-2496(85)90019-7

zbMATH Keywords

affine groupgroup of translationscharacterization of real relational structures of scale type (1,2)induced automorphism groupreal measurement structuresreal relational structures of the scale type \((m,m+1)\)

Mathematics Subject Classification ID

Mathematical psychology (91E99) Other natural sciences (mathematical treatment) (92F05) Infinite automorphism groups (20B27)

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Uniqueness and homogeneity of ordered relational structures, Applications of the theory of meaningfulness to psychology, Measurement structures with Archimedean ordered translation groups, Several unresolved conceptual problems of mathematical psychology, The structure of rating scales, Singular points in generalized concatenation structures that otherwise are homogeneous, A classification of all order-preserving homeomorphism groups of the reals that satisfy finite uniqueness, Tight and loose value automorphisms, Groups of order-automorphisms of the rationals with prescribed scale type, Conditions equivalent to unit representations of ordered relational structures, Scale type \((N,N)\) and an order-based topology induced on the automorphism group, Classification of concatenation measurement structures according to scale type

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