## 37 Citations

### Conditions Equivalent to Unit Representations of Ordered Relational Structures.

- MathematicsJournal of mathematical psychology
- 2001

Study of subgroups of automorphisms of linearly ordered relational structures focuses on conditions that are equivalent to the translations forming a homogeneous, Archimedean ordered group under the asymptotic order.

### Singular points in generalized concatenation structures that otherwise are homogeneous

- Mathematics
- 1992

### Measurement structures with archimedean ordered translation groups

- Mathematics
- 1987

The paper focuses on three problems of generalizing properties of concatenation structures (ordered structures with a monotonic operation) to ordered structures lacking any operation. (1) What is the…

### Scale Type (N, N) and an Order-Based Topology Induced on the Automorphism Group.

- MathematicsJournal of mathematical psychology
- 2000

The automorphism group is shown to be a topological group that acts topologically on the base set A of the structure and on its rank-ordered Cartesian products and the property of local compactness of the automorphic group is derived and related results proved.

### Generic utility theory: measurement foundations and applications in multiattribute utility theory

- Economics
- 1988

### 2 What Is a Ratio in Ratio Scaling ?

- Psychology

The terms ratio scale, apparently first introduced by Stevens (1946, 1951), and ratio scaling, apparently first introduced by Krantz (1972) but closely related to previous phrasing, denote different…

### On the Possible Psychophysical Laws " Revisited : Remarks on Cross-Modal Matching

- Mathematics
- 2004

A nonrelational theory of cross-modal matching, including magnitude estimation, is proposed for the general class of 1-dimensional measurement structures that have real-unit (ratio and interval…

### On the Theory of Meaningfulness of Ordinal Comparisons in Measurement: II a

- Philosophy
- 1989

The theory of measurement is a source of many interesting combinatorial problems. (See the recent surveys by Roberts [lS, 191.) In this paper, we discuss a particular problem that arises from the…

### Meaningless Statements, Matching Experiments, and Colored Digraphs

- Mathematics
- 1989

Three questions in measurement theory are discussed, which deal with classifying automorphisms of colored digraphs, specifying certain invariant semiorders and indifference graphs, and identifying certain homogeneous order relations.

## References

SHOWING 1-10 OF 24 REFERENCES

### A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness

- Education
- 1981

The role of mathematics in empirical science is puzzling, mysterious, and in my opinion has defied rational explanation. Why mathematics should be so enormously productive and effective in the…