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Karush-Kuhn-Tucker optimality conditions for a class of robust optimization problems with an interval-valued objective function
Open Mathematics ( IF 1.0 ) Pub Date : 2020-01-01 , DOI: 10.1515/math-2020-0042
Jing Zhao 1 , Maojun Bin 2
Affiliation  

Abstract In this article, we study the nonlinear and nonsmooth interval-valued optimization problems in the face of data uncertainty, which are called interval-valued robust optimization problems (IVROPs). We introduce the concept of nondominated solutions for the IVROP. If the interval-valued objective function f and constraint functions g i {g}_{i} are nonsmooth on Banach space E, we establish a nonsmooth and robust Karush-Kuhn-Tucker optimality theorem.

中文翻译:

一类具有区间值目标函数的鲁棒优化问题的 Karush-Kuhn-Tucker 最优性条件

摘要 在本文中,我们研究了面对数据不确定性的非线性和非光滑区间值优化问题,称为区间值鲁棒优化问题(IVROPs)。我们为 IVROP 引入了非支配解决方案的概念。如果区间值目标函数 f 和约束函数 gi {g}_{i} 在 Banach 空间 E 上是非光滑的,我们建立了一个非光滑和鲁棒的 Karush-Kuhn-Tucker 最优性定理。
更新日期:2020-01-01
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