基于联系度的动态TOPSIS评价方法  

Dynamic TOPSIS Evaluation Method Based on Connection Degree

作　　者：徐林明 贺新娟 XU Linming;HE Xinjuan(School of Management,Fujian University of Technology,Fuzhou 350118;School of Economics&Management,Fuzhou University,Fuzhou 350108)

机构地区：[1]福建理工大学管理学院,福州350118 [2]福州大学经济与管理学院,福州350108

出　　处：《系统科学与数学》2024年第1期151-163,共13页Journal of Systems Science and Mathematical Sciences

基　　金：国家社会科学规划项目(22BGL044)资助课题.

摘　　要：为了比较多个待评价对象在不同时刻的发展水平,以及在某一时间段内的总体发展水平,进行动态评价显得十分必要.传统TOPSIS评价方法仅考虑数据序列之间的距离关系,没有考虑距离间的相关性,为解决以上问题,文章将集对分析联系度思想引入TOPSIS,采用联系向量距离代替欧氏距离计算贴近度,加入时间维度,提出基于联系度的动态TOPSIS评价方法.该方法不仅可以得到反映评价指标值差异程度的评价值及排序结果,还可以得到反映评价指标值增长程度的评价值及排序结果,同时还能得到同时考虑以上两种情况的综合评价值及排序结果.将该方法应用于20162020年长江经济带绿色发展水平评价,通过实例验证了该方法在实际应用中的有效性.For the purpose of comparing the development level of multiple objects to be evaluated at different times and the overall development level in a certain period of time,dynamic evaluation is required.In order to overcome the shortage of Euclidean distance calculation of closeness in traditional TOPSIS,this paper introduces the idea of set-pair analysis connection degree into TOPSIS,uses connection vector distance instead of Euclidean distance to calculate closeness,adds time dimension,and proposes a dynamic TOPSIS evaluation method based on connection degree.This method can not only obtain the evaluation value and the ranking result reflecting the difference degree of the evaluation index value,but also obtain the evaluation value and the ranking result reflecting the increase degree of the evaluation index value,and the comprehensive evaluation value and the ranking result considering the above two situations at the same time.Finally,an empirical analysis of green development level of the Yangtze River Economic Belt is used to verify the effectiveness of the proposed method.

关 键 词：动态评价方法 联系度 联系向量距离 绿色发展 长江经济带 

分 类 号：O225[理学—运筹学与控制论] F124.5[理学—数学]