基于信息熵多属性决策的统计信息综合评价研究

The Statistics Comprehensive Evaluation Research Based on Entropy Multi-attribute Decision Making

针对当前权重确定方法单一、传统熵权计算方式不足等问题,构建一种基于信息熵多属性决策的综合评价模型。该模型运用改进层次分析法确定全体决策者对各指标的主观权重,以信息熵理论确定各指标的客观权重,并结合主观与客观权重作为最终评价的综合权重。在此基础上依据多属性决策模型提出多属性决策评价方法,该方法将主、客观分析相结合,既考虑权重的现实性,又以数据作为评价基础,能有效解决选择评价中的不确定多属性决策问题。论文通过对湖南统计年鉴中数据的分析,验证了所提方法的可行性与有效性。

The paper construct a multi - attribute decision making comprehensive evaluation model based on information en- tropy, for the single method of weight determining and less calculation methods of traditional entropy weight and other issues. The model uses improved AHP to determine the subjective weighting of each index of all decision - makers, to determine the objective weight of each index based on the information entropy theory, and combined with subjective and objective weight as the compre- hensive weight of final evaluation. Then proposed multi- attribute decision evaluation method based on multi - attribute decision model, this method combined the subjective and objective analysis, consider the reality of weight and uses data as the evaluation, it can effectively solve the uncertain muIti- attribute decision making problems in selection and evaluation process. The paper ver- ified the feasibility and effectiveness of the proposed method by the analysis of the data in Hunan Statistical Yearbook.