论文标题

间隔值优化问题的近似解决方案

Approximate solutions of interval-valued optimization problems

论文作者

Van Tuyen, Nguyen

论文摘要

本文介绍了与间隔值目标函数的优化问题的近似解决方案。通过考虑所有封闭和有限间隔的部分订购$ lu $,提出了四种问题的近似解决方案概念。我们表明这些解决方案存在于非常弱的条件下。在适当的约束资格下,我们得出了Karush-Kuhn-塔克(Kuhn) - 塔克(Kuhn),对于凸间间隔优化问题,必要和足够的最佳条件。

This paper deals with approximate solutions of an optimization problem with interval-valued objective function. Four types of approximate solution concepts of the problem are proposed by considering the partial ordering $LU$ on the set of all closed and bounded intervals. We show that these solutions exist under very weak conditions. Under suitable constraint qualifications, we derive Karush--Kuhn--Tucker necessary and sufficient optimality conditions for convex interval-valued optimization problems.

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