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作 者:韩二东[1] HAN Er-dong(School of Business, Luoyang Normal University, Henan Luoyang 471934, China)
出 处:《重庆工商大学学报(自然科学版)》2022年第3期70-80,共11页Journal of Chongqing Technology and Business University:Natural Science Edition
基 金:河南省软科学研究计划项目资助(192400410042).
摘 要:针对准则权重未知的混合型多准则决策问题,提出一种基于最小叉熵及垂面距离的混合型多准则决策方法。通过不同类型评价信息的规范化方法将决策信息进行规范化处理,将规范化处理后的混合决策矩阵采用信息熵法确定各准则客观权重;以单值效用函数体现各决策者对准则重要性的主观判断,获取每个决策者下的各准则主观权重,基于最小叉熵融合集成各决策者的准则主观权重向量得到准则主观组合权重向量;构建准则综合权重向量与主、客观权重向量叉熵之和最小化的优化模型确定各准则综合权重;以各备选方案分别与正、负理想方案的垂面距离实现对各方案的排序择优;最后将混合型决策方法应用于河南自贸试验区创新项目优选决策,并经对比分析验证该决策方法的有效性与可行性。In order to deal with the mixed multi-criteria decision making problem with unknown criteria weight,a hybrid multi-criteria decision making method based on minimum cross entropy and vertical distance is proposed.The mixed decision information is normalized and processed by the normalized methods of different types of evaluation information,the objective weight of each criterion is determined by the information entropy method,single-valued utility function reflects the subjective judgment of each decision maker on the importance of different criteria,and the subjective weight of each criterion of each decision maker is obtained.Based on the minimum cross entropy,the subjective combination weight of each criterion is obtained by integrating the subjective weights vector of each criterion.An optimization model is constructed to minimize the sum of the cross entropy between criterion’s comprehensive weight and subjective weight vector,and objective weight vector.Thus,the comprehensive weight vector of each criterion is determined.The ranking of the alternatives is obtained by the vertical distance between the alternatives and the positive or negative ideal solutions.Finally,the hybrid decision-making method is applied to the optimization of innovative projects in Henan Pilot Free Trade Zone,and the validity and feasibility of the decision making method are verified by comparative analysis.
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