On Euclidean images of a set endowed with a preordonnance

DOI10.1016/0022-2496(87)90034-4zbMath0616.92011OpenAlexW1975533714MaRDI QIDQ1821721

Elisabeth Gaud, Bernard Fichet

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-2496(87)90034-4

zbMATH Keywords

proximity analysisEuclidean spacesEuclidean imagesEuclidean representationspreordonnanceultrametric preordonnances

Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05) Ordered structures (06F99) Mathematical psychology (91E99)

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Cites Work

• Étude de la frontière de l'ensemble des formes quadratiques positives, sur un espace vectoriel de dimension finie
• Some counterexamples in multidimensional scaling
• The relation between hierarchical and Euclidean models for psychological distances
• The analysis of proximities: Multidimensional scaling with an unknown distance function: I, II
• A model for taxonomy. II
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Metric Spaces and Positive Definite Functions
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