Measurement structures and linear inequalities
Journal of Mathematical PsychologyPublished 1 July 1964
Dana Scott
Citations447
SJR quartileQ2
SJR score0.74
SNIP1.10
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
The general mathematical criterion for the solvability of finite systems of linear inequalities is applied to some specific situations from measurement theory. Three examples are treated in detail, and in each case the necessary and sufficent conditions for existence of a suitable real-valued (utility) function on a finite structure are obtained.
Keywords
Engineering
Journal of Mathematical PsychologySimultaneous conjoint measurement: A new type of fundamental measurement
2,001 Citations1964R. Duncan Luce, John W. Tukey
Journal of Symbolic LogicFoundational aspects of theories of measurement
617 Citations1958Dana Scott, Patrick Suppes
Disciplines as diverse as cosmology and social psychology provide evidence that it is nearly useless to have an exactly formulated quantitative theory if empirically feasible methods of measurement cannot be developed for a substantial portion of the quantitative concepts of the theory.
Systems Research and Behavioral ScienceA model of riskless choice
87 Citations2007Ernest Adams, Robert F. Fagot