This paper addresses the optimization problems with interval-valued objective function. We consider three types of total order relationships on the interval space. For each total order relationship, we introduce interval-valued convex functions and obtain Karush-Kuhn-Tucker (KKT) optimality conditions in an optimization problem with interval-valued objective function. In order to illustrate these conditions, some numerical examples have been considered and solved.

中文翻译：

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具有可接受阶的区间值目标函数的非线性优化问题的最优性条件

本文解决了区间值目标函数的优化问题。我们考虑区间空间上的三种全序关系。对于每个全阶关系，我们引入区间值凸函数，并在具有区间值目标函数的优化问题中获得 Karush-Kuhn-Tucker (KKT) 最优性条件。为了说明这些条件，已经考虑并解决了一些数值示例。