基于区别因子的DEA共识方案优选建模研究

发布时间：2018-06-30 01:35

本文选题：共识 + 区间偏好　；参考：《南京信息工程大学》2017年硕士论文

【摘要】：共识决策中,协调者的加入提高共识达成的速度与质量。协调者通过为决策个体提供改变意见的价值补偿帮助群体更快的达成共识。显然,协调者的加入影响最优共识方案的选择。决策个体为达成共识而改变自身的意见值,同时期望获得来自协调者的价值补偿。群体共识决策应以实现所有决策个体价值最大化为目标,以满足决策个体间权重差异(以“区别因子”作为表征)为约束。针对决策者意见的确定型及区间型偏好,构建了两类共识方案优选模型。将数据包络分析方法引入到共识方案优选决策中,构建了可变权重的(区间)DEA共识方案优选模型:视不同的决策方案为不同的决策单元;最优决策方案即为决策者整体价值产出效用最高的决策单元,同时也是最大共识方案;视决策方案为整体系统加以考虑,其实质是决策者整体价值产出效用最优模型。基于区别因子对最优共识方案的影响,构建了基于最大区别因子的(区间)共识方案优选模型。该类模型针对不同的决策方案,所获得的决策者权重是固定的,同时弥补了可变权重的(区间)DEA共识方案优选模型中最优方案不唯一的缺陷。此外,本文将白化值的方法引入到区间DEA建模中,构建了基于白化值的区间DEA模型,为可变权重的区间DEA共识方案优选模型和基于最大区别因子的区间共识方案优选模型的构建提供了理论铺垫。最后,将本文构建的模型应用到制造业减少污染物排放的共识决策中,说明了本文构建模型的应用性。
[Abstract]:In consensus decision-making, the coordinator's participation improves the speed and quality of reaching consensus. The coordinator helps the group to reach a consensus faster by providing value compensation for change of opinion to the decision-maker. Obviously, the participation of the coordinator affects the choice of the optimal consensus scheme. In order to reach a consensus, the decision making individual changes its opinion value and expects to receive the value compensation from the coordinator. The goal of group consensus decision making is to maximize the value of all decision makers, and to satisfy the difference of weights among decision makers (represented by "difference factor") as a constraint. According to the deterministic and interval-type preference of decision makers, two kinds of consensus optimal selection models are constructed. The method of data envelopment analysis is introduced into the decision making of consensus scheme, and the (interval) DEA consensus scheme optimal selection model with variable weight is constructed: different decision making scheme is considered as different decision making unit; The optimal decision scheme is not only the decision making unit with the highest value output utility, but also the largest consensus scheme, which is considered as the overall system, and its essence is the optimal model of the overall value output utility of the decision maker. Based on the influence of distinction factor on the optimal consensus scheme, a (interval) consensus optimal selection model based on the maximum difference factor is constructed. The weight of the decision makers is fixed for different decision making schemes, and it makes up for the non-uniqueness of the optimal schemes in the (interval) DEA consensus schemes with variable weights. In addition, the method of whitening value is introduced into interval DEA modeling, and the interval DEA model based on whitening value is constructed. It provides a theoretical basis for the optimal selection model of interval DEA consensus scheme with variable weights and the optimal selection model of interval consensus scheme based on maximum difference factor. Finally, the model is applied to the consensus decision of reducing pollutant emission in manufacturing industry, and the application of the model is illustrated.
【学位授予单位】：南京信息工程大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：X322;F224;F424

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