复杂系统多属性决策方法

摘要

Multi-attributions Decision Making (MADM) has been a very important method to evaluate complex system. In MADM, to normalize value of every attribute is one of the most important work. In thispaper, firstly, the novel methods of normalization for three kinds of attributions (profit, cost and fixation) in complex system are presented. And these methods fit for requirements of consistency and comparability. Secondly,on analyzing the application scope of weighting summation method and weighting multiplication method,we come to a conclusion that weighting multiplication method is a better method for analyzing complex system. At last, a sample in reference is analyzed and the validity of the method is proved.%多属性决策已成为复杂系统评定的重要手段.属性标准化是多属性综合决策中的一项重要内容,标准化方法应严格遵循属性的物理意义和对决策目标的影响,要求标准化前后属性值比较的物理意义一致或接近.首先在分析现有标准化方法不足的基础上,提出了效益型、成本型和固定型属性标准化新方法,经过该方法得到的标准化结果,满足了标准化前后的可比性和线性化.其次,综合分析了加权和和加权积决策模型应用范围,得出加权积模型更适用于复杂系统的多属性综合决策问题研究.最后,将标准化方法和加权积决策模型应用于算例分析,分析结果验证了提出方法的有效性和一致性.