Fundamental unit structures: A theory of ratio scalability

DOI10.1016/0022-2496(79)90024-5zbMath0422.92029OpenAlexW2075153399MaRDI QIDQ1134045

S. H. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-2496(79)90024-5

zbMATH Keywords

binary operationnumerical scaleArchimedean ordered grouptransitive automorphism groupgeneralization of associative measurementnonassociative measurement structurespositive concatenation structuretheory of ratio scalability

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Ordered groups (06F15) Mathematical psychology (91E99)

Related Items (15)

Uniqueness and homogeneity of ordered relational structures ⋮ On a theory of scale types ⋮ Measurement structures with Archimedean ordered translation groups ⋮ Some recent applications of functional equations to the social and behavioral sciences. Further problems ⋮ Dedeking completion of positive concatenation structures: Necessary and sufficient conditions ⋮ Discernibility by symmetries ⋮ On the scales of measurement ⋮ A general theory of ratio scalability with remarks about the measurement- theoretic concept of meaningfulness ⋮ Rank- and sign-dependent linear utility models for finite first-order gambles ⋮ Singular points in generalized concatenation structures that otherwise are homogeneous ⋮ Symmetry, scale types, and generalizations of classical physical measurement ⋮ Factorizable automorphisms in solvable conjoint structures. I ⋮ How we may have been misled into believing in the interpersonal comparability of utility ⋮ Conditions equivalent to unit representations of ordered relational structures ⋮ Classification of concatenation measurement structures according to scale type

Cites Work

• The algebra of measurement
• Simultaneous conjoint measurement: A new type of fundamental measurement
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