一般变权原理与多目标决策

在已有文献基础上完善了变权的公理化定义 ,讨论了变权的基本类型及它们之间的关系 .在此之后 ,深入研究了由激励效用族诱导的变权的特性 ,给出了变权的协调原理并以此为原则给出了某种特定的变权 ,从而使变权更具可操作性 .最后 ,给出了解多目标问题的变权方法.

The Ordinary Variable Weight Principle and Multiobjective Decision-Making

Having introduced the tentative idea of compromise variable weight in document , we firstly present the generalized definition of compromise variable weight in this paper, being followed by discussing relations among various variable weights. It is one of important point of our work to study the nature of variable weight induced by the family of impellent utility function for revealing the relation between variable weight analysis and utility theory. As a result of this study, some types of impellent utility function family fitting to variable weight analysis is given in this paper. Finally, the compatibility principle of variable weight is stated for structuring some particularly operatable variable weight to restrict the parameter in application, and the method of variable weight for multiobjective decision|making is given as an example.