On a class of interval-valued optimization problems

被引:0
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作者
Savin Treanţă
机构
[1] University Politehnica of Bucharest,Department of Applied Mathematics
[2] Faculty of Applied Sciences,undefined
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关键词
Interval-valued variational control problem; Kuhn–Tucker LU-optimality conditions; Interval-valued KT-pseudoinvexity; Uncertainty;
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摘要
In this paper, we introduce the interval-valued KT-pseudoinvex variational control problems involving multiple integral objective functionals. Specifically, a new condition of generalized convexity is defined for the functionals involved in the new class of interval-valued variational control problems. Moreover, it is proved that an interval-valued KT-pseudoinvex variational control problem is described such that every Kuhn–Tucker point is an LU-optimal solution. Also, in order to illustrate the theoretical development, an application is provided.
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页码:617 / 626
页数:9
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