On Euclidean images of a set endowed with a preordonnance (Q1821721)
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scientific article; zbMATH DE number 3999731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Euclidean images of a set endowed with a preordonnance |
scientific article; zbMATH DE number 3999731 |
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On Euclidean images of a set endowed with a preordonnance (English)
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1987
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The purpose of the paper is to study Euclidean representations of (I,R), where I is a finite nonempty set, and R is a total order of \(I^ 2\) satisfying for arbitrary \((i,j,k)\in I^ 3\) (i,i)R(j,k), and (j,i)R(i,j) (R is called a preordonnance on I). New results concerning the determination of ultrametric preordonnances, upper bounds for certain determinations, and dimensions of the spaces where a given preordonnance may have an image are established.
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Euclidean images
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proximity analysis
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Euclidean spaces
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Euclidean representations
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preordonnance
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ultrametric preordonnances
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0.8360932
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0.83509755
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0.8341581
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