标题： 具有加法-≈Åukasiewicz模糊关系不等式的极小极大规划问题及其最优解 显示英文标题

标题： Minimax programming problems subject to addition-≈Åukasiewicz fuzzy relational inequalities and their optimal solutions

摘要： 本文专注于受附加-{\L }Łukasiewicz模糊关系不等式约束的极小极大规划问题。 我们首先建立两个必要且充分条件，判断模糊关系不等式的解是否为最小解，并探讨唯一最小解的存在条件。 我们还提供一个算法，从给定的解出发，搜索模糊关系不等式的最小解。 随后，我们将模糊关系不等式的最小解应用于极小极大规划问题，以搜索最优解。 我们提供了两个算法来解决一种单变量优化问题，并得到最大的最优解。 用于寻找给定解的最小解的算法也用于搜索最小最优解。 显示英文摘要

摘要： This article focuses on minimax programming problems subject to addition-{\L}ukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a minimal one and explore the existence condition of the unique minimal solution. We also supply an algorithm to search for minimal solutions of the fuzzy relational inequalities starting from a given solution. We then apply minimal solutions of the fuzzy relational inequalities to the minimax programming problems for searching optimal solutions. We provide two algorithms to solve a kind of single variable optimization problems, and obtain the greatest optimal solution. The algorithm for finding minimal solutions of a given solution are also used for searching minimal optimal solutions.