两层多人多目标决策模型及其凸性

本文提出了四种一般性两层多人多目标决策模型及其最优解概念，它们适应于下层以不同已知信息提供给上层并涉及多个决策者不同偏好的两层多目标决策问题，研究了与这些模型相关的几种集值函数（包括下层有效前沿面，下层目标空间构成的集值函数和上层的两种复合目标集值函数）在各种意义下的凸性。

TWO-LEVEL MULTI-PERSON MULTIOBJECTIVE DECISION-MAKING MODELS AND CONVEXITY

In this paper,four general two-level multi-person multi-objective decision-making models and their optimal solution concepts are proposed.The models are adaptive to the two-level multiobjective decision-making problems having multiple decision-makers in two-level,in which the lower-level supplies functions for upper-level in different ways.Convexity in various senses of several set-valued functions,including the efficient frontier surface and set-valued function constructed by objective space of the lower-level,and two composite objective functions of the upper level is studied.