本文针对上层为单目标,下层为多目标的两人两层决策问题,建立了它的数学模型和决策机制,然后将其转化为单层的非凸优化问题。采用外部逼近算法求解此非凸优化问题的全局最优解,这为两层决策问题提供了一种求解的途径,同时为该类问题的决策支持系统的研究是有意义的。 Aiming at the two-person two-level decision-making problem that the upper level is a single goal and the lower level is a multi-objective, this paper establishes its mathematical model and decision-making mechanism, and then transforms it into a single-level non-convex optimization problem. Using the external approximation algorithm to solve the global optimal solution of this nonconvex optimization problem provides a solution to the two-level decision making problem. At the same time, it is meaningful to study the decision support system for this kind of problem.