多目标规划中的一个基本最优性条件

A Fundamental Optimality Condition in Multiobjective Programming

构造一个例子说明文献[1]中的问题1之结论不真,从而揭示了多目标规划与单目标规划的一个本质区别,然后导出多目标规划的一个基本最优性条件。

In this paper a counterexample is constructed to show that the first problem in [1] has a negative answer which reveals a key distinction between singleobjective optimization and multiobjective optimization. A fundamental optimality condition is derived for a locally pareto effective solution.