Interval programming provides one of the modern approaches to modeling optimization problems under uncertainty. Traditionally, the best and the worst optimal values determining the optimal value range are considered as the main solution concept for interval programs. In this paper, we present the concept of semi-strong values as a generalization of the best and the worst optimal values. Semi-strong values extend the recently introduced notion of semi-strong optimal solutions, allowing the model to cover a wider range of applications. We propose conditions for testing values that are strong with respect to the objective vector, right-hand-side vector or the constraint matrix for interval linear programs in the general form.

中文翻译：

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最佳，最差和半强：区间线性规划中的最佳值

间隔编程为不确定性下的优化问题建模提供了一种现代方法。传统上，确定最佳值范围的最佳和最差最佳值被视为间隔程序的主要解决方案概念。在本文中，我们提出了半强值的概念，作为最佳和最差最佳值的概括。半强值扩展了最近引入的半强最优解的概念，使模型可以覆盖更广泛的应用。对于一般形式的区间线性程序，我们提出了针对目标矢量，右侧矢量或约束矩阵的强测试值的条件。