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基于层次变权的多因素决策
引用本文:李德清,崔红梅,李洪兴. 基于层次变权的多因素决策[J]. 系统工程学报, 2004, 19(3): 258-263
作者姓名:李德清  崔红梅  李洪兴
作者单位:北京师范大学数学系,北京,100875
基金项目: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.

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
文章编号:1000-5781(2004)03-0258-06

Multifactor decision making based on hierarchical variable weights
LI De-qing,CUI Hong-mei,LI Hong-xing. Multifactor decision making based on hierarchical variable weights[J]. Journal of Systems Engineering, 2004, 19(3): 258-263
Authors:LI De-qing  CUI Hong-mei  LI Hong-xing
Abstract: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.
Keywords:variable weight synthesis  state variable weight vectors  hierarchy variable weight  factor space  encouragement and balance
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