基于熵权-GRA-TOPSIS的组合评价模型在黑龙江省城市经济发展综合评价中的应用研究  

The Application of Combination Evaluation Model Based on Entropy Weight-GRA-TOPSIS in Comprehensive Evaluation of Urban Economic Development in Heilongjiang Province

作　　者：祖培福[1] 姚尧 马妍[1] Zu Peifu;Yao Yao;Ma Yan(Mudanjiang Normal College)

机构地区：[1]牡丹江师范学院

出　　处：《哈尔滨师范大学自然科学学报》2021年第5期1-7,共7页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省教育厅科学研究重点项目(1355ZD011);中央财政支持地方高校发展专项资金优秀青年人才支持项目(ZYQN2019071);牡丹江师范学院教学改革项目(20-XJ21010);2019年黑龙江省教育厅大学生创新训练一般项目(201910233059)。

摘　　要：针对城市经济发展水平的综合评价问题,利用描述宏观经济发展的多指标数据,结合GRA与TOPSIS各自的优点,构建考虑熵权下将二者结合的组合评价模型.主要思路:首先对多指标数据进行标准化处理并得到评价对象的最优与最劣参考序列,进而利用熵权法求出各指标权重;其次分别计算各评价对象与最优及最劣参考序列的优劣关联系数并利用指标权重系数得到每个评价对象的优劣灰色关联度,接着再进一步计算出每个评价对象的灰色关联贴近度,并据此可实现对评价对象的综合评价.最后以黑龙江省主要城市的经济发展水平的综合评价为例进行了实证分析,可为政府等相关决策部门提供较为科学的量化参考资料.Aiming at the comprehensive evaluation of urban economic development level,useing the multi index data to describe the macro-economic development,combining the advantages of GRA and TOPSIS,a combined evaluation model considering entropy weight is constructed.The main idea is:firstly,the multi index data are standardized,and the optimal and worst reference sequences of evaluation objects are obtained,and then the indexes are calculated by entropy weight method;Secondly,it calculates the correlation coefficient between each evaluation object and the best and the worst reference sequence,and the gray correlation degree of each evaluation object is obtained by using the index weight coefficient,and then further the gray correlation degree of each evaluation object is calculated,and based on this,the comprehensive evaluation of the evaluation object is realized.Comprehensive evaluation is taken as an example for empirical analysis,which can provide more scientific quantitative reference for the government and other relevant decision-making departments.

关 键 词：熵权 GRA TOPSIS 组合评价 

分 类 号：O29[理学—应用数学]