中文摘要：

决策问题的复杂性与决策问题的结构化程度是高度相关的,对于决策问题复杂性的研究,主要体现在对策问题结构化的研究上。借鉴复杂系统分层递阶结构的特点,对复杂决策问题的层次结构进行形式化定义,描述了复杂决策问题的结构集成,提出问题结构集成的关键在于支配决策单元的相对权重的获得,运用梯度向量法对复杂决策问题进行层次结构分析,并结合算例验证了该方法的有效性。

英文摘要：

The complexity of decision-making problems and the degree to which decision-making problems are structurized are closely related to each other. The research on the structuralization of decision-making problems is the major part of the research on the complexity of decision-making problems. Firstly, the formalized definition of the hierarchical structure of complex decision-making problems is given according to the hierarchical feature of the complicated systems. Secondly, the structure integration of complex decision-making problems is described. Thirdly, the key to problem structure integration is to obtain the relative weight that dominates the decision units is proposed. Then, the hierarchical stucture of the complex decision-making problems is analyzed by means of gradient vector method. Finally, the effciency of this approach is proved by a numerical example. This research provides a fundamental basis for the development of a new analysis paradigm for complex decision-making problems and the further development of complex decision support methodology system.