具有递阶结构的多目标群决策方法

A Multiple-Objective Group Decision Making Method with Hierarchical Structure

建立了一类上层单目标、下层多人无关联多目标的两层决策问题的数学模型，利用加权法把下层的多目标转化为单目标，形成一个下层多人无关联单目标的两层规划问题，采用外部逼近法解两层规划问题，从而获得原两层决策问题的最优解．该法为两层决策问题提供了一种求解途径．

The two-level decision making problem with a single-objective upper level and a several-independent-person, multiple-objective lower level is modelled by a mathematical model:and it is then transferred into a two-level programming problem with a several-independent-person,single-objective lower level by using weighted method to transfer multipleobjective lower level into single-objective one.Thus the problem of two-level decision will have an optimized solution by adopting outer approximation to solve this programming problem.The method provides the problem of two-level decision with a way of solving.