Karush-Kuhn-Tucker optimality conditions for a class of robust optimization problems with an interval-valued objective function

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 gi{g}_{i} are nonsmooth on Banach space E, we establish a nonsmooth and robust Karush-Kuhn-Tucker optimality theorem.

Keywords

• karush-kuhn-tucker optimality
• robust optimization
• generalized convexity
• interval-valued function
• nondominated solution
• 49j15
• 49j52
• 58c06