约束条件为取大-取小型模糊关系不等式的取小-取大规划问题

摘要

提出了目标函数为取小-取大规划、约束条件为取大-取小型模糊关系不等式的优化规划模型。通过求解其导出的单变量模糊关系不等式，得到求解该优化模型的一种简易算法。同时讨论了该规划模型解的存在性、解的结构及最优解的唯一性的等价条件。最后给出两个数值例子。%Min-max programming problem subject to max-min relation inequalities is introduced in this paper. The problem is solved with the help of the derived single variable fuzzy inequalities,which has close re-lationship with the proposed problem.An algorithm for the problem is provided with two numerical examples. Furthermore, the existence, the structure and the uniqueness of the solution to the problem are discussed in the paper.