Measurement structures and linear inequalities
- 31 July 1964
- journal article
- Published by Elsevier BV in Journal of Mathematical Psychology
- Vol. 1 (2), 233-247
- https://doi.org/10.1016/0022-2496(64)90002-1
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
This publication has 5 references indexed in Scilit:
- Simultaneous conjoint measurement: A new type of fundamental measurementJournal of Mathematical Psychology, 1964
- Measures on Boolean algebrasPacific Journal of Mathematics, 1959
- Intuitive Probability on Finite SetsThe Annals of Mathematical Statistics, 1959
- Foundational aspects of theories of measurementThe Journal of Symbolic Logic, 1958
- Semiorders and a Theory of Utility DiscriminationEconometrica, 1956