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
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作者单位:

大连交通大学经济与管理学院

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中图分类号:

C934

基金项目:

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


Multi-attribute group decision-making method based on dual probabilistic linguistic integrated distance measure and regret theory
Author:
Affiliation:

School of Economics and Management, Dalian Jiaotong University

Fund Project:

Natural Science Foundation of China (71771043); Foundation of Liaoning Provincial Department of Education (LJKR0195)

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    摘要:

    对偶概率语言术语集(DPLTS)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,本文提出了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.进而,基于评价相似度与专家可信度给出了专家权重信息未知情况下的权重求解方法;接着,构建了群体共识的具体达成步骤,得到需要的决策矩阵.再次,依据离差最大化思想计算属性权重,并构建了基于后悔理论的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了本文方法的适用性和有效性;并通过灵敏度分析和对比分析,进一步验证了方法的稳定性和合理性.

    Abstract:

    The dual probabilistic linguistic term set (DPLTS) is 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 DPLTSs, this paper proposes a new integrated distance measure that can accurately characterize the differences between DPLTSs without extending the number of probabilistic linguistic term elements. Second, the method of determining expert weights is given based on the similarity of evaluation and expert 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 was carried out as an example to verify the applicability and effectiveness of the method; and the stability and rationality were further verified through sensitivity analysis and comparative analysis.

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  • 收稿日期:2023-06-15
  • 最后修改日期:2024-03-10
  • 录用日期:2023-10-25
  • 在线发布日期: 2023-11-13
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