基于对偶概率语言综合距离测度和后悔理论的多属性群决策方法  

Multi-attribute group decision-making method based on dualprobabilistic linguistic integrated distance measure and regret theor

作　　者：姜广田 宋安斌 JIANG Guang-tian;SONG An-bin(School of Economics and Management,Dalian Jiaotong University,Dalian 116028,China)

机构地区：[1]大连交通大学经济管理学院,辽宁大连116028

出　　处：《控制与决策》2024年第10期3459-3468,共10页Control and Decision

基　　金：国家自然科学基金项目(71771043);辽宁省教育厅项目(LJKR0195)。

摘　　要：对偶概率语言术语集(DPLTSs)能够同时在隶属度和非隶属度角度表达决策者的评价信息,在处理多属性群决策(MAGDM)问题时更具有效性.首先,针对目前DPLTSs距离测度的不足,提出一种新的综合距离测度方式,能够在无需进行元素个数拓展的情况下精确表征DPLTSs之间的差异;然后,基于评价相似度与DPLTSs专家可信度矩阵给出专家权重的求解方法;接着,构建群体共识的反馈调节步骤,从而得到所需的决策矩阵;再次,依据离差最大化思想计算属性权重,并构建基于后悔理论的MAGDM决策方法;最后,以新能源车企重型卡车研发策略的选择问题为例进行数值分析,在解决实际问题的同时验证所提出方法的适用性和有效性,并通过灵敏度分析和对比分析进一步验证所提出方法的稳定性和合理性.Dual probabilistic linguistic term sets(DPLTSs)are able to express the evaluation information of decision makers in both membership degree and non-membership degree,which is more effective in dealing with multi-attribute group decision-making(MAGDM)problems.First,to address the shortcomings of the current research on distance measures of the DPLTSs,this paper proposes a new integrated distance measure that can accurately characterize the differences between the DPLTSs without extending the number of probabilistic linguistic term elements.Second,the method of determining expert weights is given based on the similarity of evaluations and experts’trustworthiness;then,the specific steps of reaching group consensus are constructed and the required decision matrix is obtained.Third,the attribute weights are calculated based on the deviation maximization method,and the MAGDM decision method based on regret theory is constructed.Finally,the numerical analysis of the heavy-duty truck research and development strategy selection for a new energy vehicle enterprise is carried out as an example to verify the applicability and effectiveness of the method;and the stability and rationality are further verified through sensitivity analysis and comparative analysis.

关 键 词：对偶概率语言术语集 多属性群决策 距离测度 共识达成 后悔理论 

分 类 号：C934[经济管理—管理学]