参数化方法在解多目标优化中的应用

求解多目标优化的 参数化方法本质上是将多目标评价函数中的权系数视为可变参数。本文从一般的含参数的优化问题出发，论述了最优解连续依赖于参数的变化。本文的数值例子将表是，采用这种处理方法，可达到人们的预期目的。

APPLICATIONS OF PARAMETERIZATION METHOD IN MULTI OBJECTIVE OPTIMIZATION

In methods of parameterization for multi objective optimization, the weights of constructed utility functions are regarded as parametric variables. In this paper, the stability of parameterized optimal solutions is discussed and the stable efficient solution can be obtained by setting the appropriate parameters in accordance with the significance of objectives. A practical numerical sample indicates that the certain expectancy of decision maker will be met by the above method.