基于层次变权的多因素决策  

Multifactor decision making based on hierarchical variable weights

作　　者：李德清[1] 崔红梅[1] 李洪兴[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《系统工程学报》2004年第3期258-263,共6页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(60174013);教育部博士点基金资助项目(20020027013);教育部科学技术重点项目(03184);973国家重大基础研究计划基金资助项目(2002CB312200).

摘　　要：首先分析变权综合的变权效果,证明了决策问题中取大取小模型是一类变权综合模型的极限.然后,利用变权原理研究一类多因素决策问题,提出并分析了层次变权思想,进而建立了一个基于层次变权的多因素决策模型.最后讨论一个人才选优的实际问题,结果表明该模型能较好地实现决策目标.In this paper, we firstly analyze the effect of variable weight synthesis. It is proved that the max-min decision-making model is the extreme of a class of variable weight synthesis models. Secondly, We research a class of multifactor decision making problems with variable weight theory, propose the idea of hierarchical variable weight, and establish a multifactor decision-making model based on this idea further. Finally, we discuss a real problem about selecting excellent person. The result shows that this model can satisfy the decision maker very much.

关 键 词：变权综合 状态变权向量 层次变权 因素空间 激励与均衡 

分 类 号：O159[理学—数学]