Published online by Cambridge University Press: 14 March 2022
Suppose that entities composed of two distinct components can be qualitatively ordered in two ways, such that each ordering relation satisfies the axioms of conjoint measurement. Without further assumptions nothing can be said about the relation between the pair of numerical scales constructed for each component. Axioms are stated that relate the two measurement theories, and that are sufficient to establish that the two conjoint scales on each component are linearly related.
This research was performed while the author was a Fellow of the Miller Institute for Basic Research in Science, University of California, Berkeley, and the paper was revised while the author was a Killam Fellow, University of Alberta, Edmonton.