On multiple objective programming problems with set functions (Q1058466)
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scientific article; zbMATH DE number 3900526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On multiple objective programming problems with set functions |
scientific article; zbMATH DE number 3900526 |
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On multiple objective programming problems with set functions (English)
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1985
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The convexity of a subset of a \(\sigma\)-algebra and the convexity of a set function on a convex subset are defined. Related properties are also examined. A Farkas-Minkowski theorem for set functions is then proved. These results are used to characterize properly efficient solutions for multiple objective programming problems with set functions by associated scalar problems.
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convexity for subsets of sigma-algebras
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convexity of set functions
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Farkas-Minkowski theorem
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efficient solutions
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multiple objective programming
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