
科学技术与工程

中国技术经济学会
群体混合属性广义灰靶决策中的信息集结方法
Information Aggregation Methods for Group Decision-making Based on Generalized Grey Target with Mixed Attributes
针对群体混合属性广义灰靶决策,提出一种基于改进幂加权平均算子的群体信息集结方法。该方法综合考虑了群体各决策者及各属性之间的相互关系,在减少不确定信息失真的同时简化计算过程。首先对混合属性数据进行统一度量转化;其次计算专家评价值与各专家靶心的综合加权Gini-Simpson指数(G-S指数),以确定各专家的客观权重;然后通过综合加权G-S指数进一步计算专家之间的差异性;最后基于改进幂加权平均算子,构建一种新的信息集结方法对混合属性群体决策信息进行集结。实例分析验证了所提出方法的有效性和可行性。
For the group decision-making based on generalized grey target with mixed attributes, a group information aggregation method based on an improved power-weighted averaging operator was proposed. This method takes into account the interrelationships among decision-makers and among attributes, reducing the distortion of uncertain information and simplifying the computational process. First, the mixed attribute data are uniformly measured and transformed. Then, the comprehensive weighted G-S (Gini-Simpson) index was calculated by evaluating each expert's values relative to the target centers of all experts, to determine the objective weight of experts. Next, the differences among experts are further calculated by the comprehensive weighted G-S index. Finally, a novel information aggregation method was constructed based on the proposed improved power-weighted averaging operator to aggregate group decision-making information with mixed attributes. The effectiveness and feasibility of the proposed method are verified by a case analysis.
群体决策 / 广义灰靶决策方法 / 信息集结 / 混合属性 / 改进幂加权平均算子
group decision-making / generalized grey target decision-making method / information aggregation / mixed attribute / improved power-weighted averaging operator
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