李忠洵　华锦芝　刘震　郑建宾

摘要：

针对多指标综合评价问题中主客观权重相悖时客观权重淹没主观权重的问题，以G1法和客观赋权法为基础，提出了复合幂函数修正G1法的组合赋权模型。首先，建立指标体系并通过G1法确定各指标主观排序和主观初始向量；然后，利用客观赋权法计算各指标客观向量；其次，在不改变主观排序的情况下利用复合幂函数算出主客观结合的综合权重；最后，利用各指标标准化后的值和综合权重计算综合评价值。采用大众点评网的商户数据进行综合评价实驗：该模型的均方根误差（RMSE）为3.891，均低于G1熵权法的8.818和标准差修正G1法的4.752，且覆盖率优于两种对比方法；分别修改主观初始向量和主观排序进行对比实验，修改主观排序的均方根误差为5.430，高于修改主观初始向量的1.17。实验结果表明，该模型得到的评价值与大众点评网官方的评分的一致性较高，且该模型弱化了主观初值对评分结果的影响，体现了主观排序的基础作用。

关键词：

多指标综合评价；序关系分析；权重；主观排序；主客观评价结合

中图分类号：

TP311

文献标志码：A

Abstract：

Considering the issue of objective weight overwhelming subjective weight when the subjective weight and objective weight is inconsistent in multiindex evaluation problem， based on G1 method and the objective weighting method， an assembled weighting model combined with G1 method improved by composite power function was proposed. Firstly， an index system was built， and the subjective ranking and subjective initial vector were determined by G1 method. Thus， each objective index vector was calculated by objective weighting method. Secondly， without changing the ranking order， the comprehensive weights integrated with both subjective and objective components were obtained by utilizing composite power function. Lastly， comprehensive evaluation was calculated by using standardized values of indices and comprehensive weights. Merchants data crawled from Dianping.com was adopted for the experiments of comprehensive evaluation. The RootMeanSquare Error （RMSE） of the new model was 3.891， which is lower than the result of 8.818 obtained by the G1entropy weighting and the result of 4.752 obtained by the standard deviation improved G1. Meanwhile， the coverage rate obtained by the new model was better than the two baseline models as well. On the other hand， the comparison results performed by changing subjective initial vector and subjective ranking order showed that 英摘太长，这句可不要the RMSE obtained by changing subjective ranking order is 5.430， which is higher than the result of 1.17 that obtained by changing subjective initial vector. The experimental results demonstrate that the evaluation values obtained by the new model highly match with the counterparts given by the Dianping.com， and the model can significantly weaken the effect of initial subjective values， which reflects the fundamental status of the subjective ranking.

英文关键词Key words：

multiindex comprehensive evaluation； rank correlation analysis； weight； subjective order； combination of subjective and objective evaluations

0引言

随着电子商务的飞速发展，利用大量数据对商户进行全面评价的系统被运用到了各类电商网站当中，对评价结果的准确性和合理性的要求也越来越高，精确合理地评价模型对电商网站发展和推广有着重要的作用[1]。对商户进行评价受到多种评价因素的影响，因此可以利用多指标综合评价的理论建立评价模型。……