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arXiv · 2012.02683

Approximate solutions of interval-valued optimization problems

Nguyen Van Tuyen
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Abstract

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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Nguyen Van Tuyen. 2020-12-04. Approximate solutions of interval-valued optimization problems. https://arxiv.org/abs/2012.02683

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