基于均衡约束的二次循环优化竞争性评估方法
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摘要
对于多指标决策问题,提出了基于均衡约束的二次循环优化竞争性评估模型。设计了两种排序准则,提出了两种均衡约束规则,描述了循环优化的过程,并对循环终止的条件进行了讨论和证明。最后,给出了模型操作的步骤。模型中相互竞争的各决策单元直接参与到均衡约束规则的制定和均衡满意效果的判断,这使得各决策单元参与决策的过程和结果都更加透明了。应用例分析表明,经过两次循环优化,各决策单元的优势均衡逐渐体现,同时竞争需求也得到了满足。此外,新模型对各决策单元的竞争性权重分配意见具有协调作用。
For multiple criteria decision making(MCDM) problems,a competitive assessment model of twice circular optimization based on the restriction of equilibrium is constructed.We design two kinds of ranking rules and equilibrium restrictions.Then we describe the processes of circular optimization and discuss the termination conditions of the circulations.At last,the steps of model operation are proposed.In the model,the decision making units directly participate in the establishment of equilibrium restriction rules and the judgment of equilibrium effects,which makes the processes and results more transparent.The example shows that the equilibrium of those decision making units will be gradually embodied,meanwhile,the competition demands are also satisfied.Furthermore,the model has harmonious effects on the weight assignment opinions of different decision making units.
For multiple criteria decision making(MCDM) problems,a competitive assessment model of twice circular optimization based on the restriction of equilibrium is constructed.We design two kinds of ranking rules and equilibrium restrictions.Then we describe the processes of circular optimization and discuss the termination conditions of the circulations.At last,the steps of model operation are proposed.In the model,the decision making units directly participate in the establishment of equilibrium restriction rules and the judgment of equilibrium effects,which makes the processes and results more transparent.The example shows that the equilibrium of those decision making units will be gradually embodied,meanwhile,the competition demands are also satisfied.Furthermore,the model has harmonious effects on the weight assignment opinions of different decision making units.
引文
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[13]易平涛,郭亚军.权数非独裁性条件下的基于竞争视野优化的多属性决策方法[J].控制与决策.2007,22(11):1259~1263.
[14]王洁方,刘思锋.基于交叉评价和竞争视野优化的多属性决策方法[J].控制与决策,2009,24(10):1495~1498.
[15]Lee K S,et al.Extended methods for identifying dominance and potential optimality in multicriteria analysis with imprecise information[J].European Journal of Operational Research,2001,134(3):557~563.
[2]Rezaei J.Ortt R.Multi-criteria supplier segmentation using a fuzzy preference relations based AHP CJ].European Journal of Operational Research,2013,225(1):75~84.
[3]Saaty T L.Decision making with dependence and feedback:The analytic network process[M].Pittsburgh,RWS Publications,1996.
[4]Hwang C L,Yoon K.Multiple attribute decisionmaking methods and applications:A state-of-the-art survey[M].Berlin:Springer-Verlag,1981.
[5]Charnes A,etal.Measuring the efficiency of decisionmaking units[J],European Journal of Operational Research,1978,2(4):429~444.
[6]Yager R R.On ordered weighted averaging aggregation operators in multi-criteria decision making[J].IEEE Trans Syst Man Cybern.1988,18(1):183~190.
[7]Xu Z S.Da Q L.An overview of operators for aggregating information[J].International Journal of Intelligent Systems,2003,18(9):953~969.
[8]Merigo,Jose M.Probabilities in the OWA operator[J].Expert Systems with Applications,2012,39(13):11456~11467.
[9]Liu J P.etal.The continuous quasi-OWA operator and its application to group decision making[J].Group Decision and Negotiation,2013,22(4):715~738.
[10]梁樑.王国华.多层次交互式确定权重的方法[J].系统工程学报,2002,(4):358~363.
[11]Dyer J S,et al.Multiple criteria decision making,multi-attribute utility theory:The next ten years[J].Management Science,1992,38(5):645~654.
[12]余雁.梁樑.基于Nash均衡约束的竞争性评估方法研究[J].管理科学学报,2006.9(1):8~13.
[13]易平涛,郭亚军.权数非独裁性条件下的基于竞争视野优化的多属性决策方法[J].控制与决策.2007,22(11):1259~1263.
[14]王洁方,刘思锋.基于交叉评价和竞争视野优化的多属性决策方法[J].控制与决策,2009,24(10):1495~1498.
[15]Lee K S,et al.Extended methods for identifying dominance and potential optimality in multicriteria analysis with imprecise information[J].European Journal of Operational Research,2001,134(3):557~563.