: M.Z. Arslanov
: Scalarization of the construction of the Slater-optimal solution set
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: 1997
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: Automation and remote control
() : 8
: M.Z. Arslanov. Scalarization of the construction of the Slater-optimal solution set // Automation and remote control, 1997, 8. P. 1348-1353.
: Multicriteria (vector) optimization is studied as a problem of constructing a set of x-consistent plans in an active system model. The construction of a set of Slater-optimal (semieffective) points in multicriteria optimization is reduced to optimization by a scalar criterion, which is a new convolution of the criterion set. The relationship of this convolution with the Karlin convolution is studied.
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