面向复杂决策问题的结构计算方法研究

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。

Research on the structure computation method for complex decision-making problems

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.