On two generalizations of Pareto minimality (Q1093550)
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scientific article; zbMATH DE number 4023042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two generalizations of Pareto minimality |
scientific article; zbMATH DE number 4023042 |
Statements
On two generalizations of Pareto minimality (English)
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1988
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We investigate two generalizations of the Pareto minimality concept: infimality and approximate minimality. It is shown that existence conditions for these optimality notions are much weaker and that they allow a more complete characterization via linear and nonlinear scalarization than Pareto minimality. We further study some relations between those optimality structures and apply the results to the image of a vector-valued mapping.
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partially ordered vector spaces
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multiobjective programming
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Pareto minimality
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infimality
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approximate minimality
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existence conditions
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linear and nonlinear scalarization
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vector-valued mapping
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