摘要
基于多指标决策模型(MCDM),研究了在Nash均衡约束的基础上,如何根据各决策单元(DMU)本身的特点来获取不同DMU的优势权重从而达到最终决策时自身的优势最大化.从新的角度,引入Nash均衡约束,提出了基于Nash均衡约束的多指标决策竞争性评估模型.在主体自身优势最大化的基础上,增加Nash均衡约束,通过约束参数的不断迭代,达到各决策单元的优势均衡,给出了一种新的基于优势均衡的客观确定权重的方法.
Based on a multiple criteria decision making (MCDM) model, this paper investigates how the set of criteria weights (or weight-set thereafter) is determined to compete for alternatives' maximum advantages according to its own characteristic of alternatives based on the restriction of Nash equilibrium. Each alternative is called a decision making unit (DMU). We introduce the restriction of Nash equilibrium and present the model of competitive assessment based on the restriction of Nash equilibrium in multi-criteria decision making (CANEM). Each DMUs will get its optimum weight-set according to CANEM and be ranked by the result calculated by optimum weight-set finally. At the same time the advantages' equilibrium of all DMUs will be achieved. This paper presents a new method to get objective weight-set based on advantages' equilibrium of all DMUs.
出处
《管理科学学报》
CSSCI
北大核心
2006年第1期8-13,共6页
Journal of Management Sciences in China
基金
国家863基金资助项目(2002AA46361)
国家自然科学基金资助项目(70371023)
关键词
决策单元
多指标决策
权重
约束参数
DMU
multiple criteria decision-making
weight
Nash equilibrium