基于联系度的动态TOPSIS评价方法

徐林明, 贺新娟

系统科学与数学 ›› 2024, Vol. 44 ›› Issue (1) : 151-163.

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系统科学与数学 ›› 2024, Vol. 44 ›› Issue (1) : 151-163. DOI: 10.12341/jssms22846

基于联系度的动态TOPSIS评价方法

    徐林明1, 贺新娟2
作者信息 +

Dynamic TOPSIS Evaluation Method Based on Connection Degree

    XU Linming1, HE Xinjuan2
Author information +
文章历史 +

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.

Abstract

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

Key words

Dynamic evaluation method / connection degree / connection vector distance / green development / Yangtze River Economic Belt

引用本文

导出引用
徐林明 , 贺新娟. 基于联系度的动态TOPSIS评价方法. 系统科学与数学, 2024, 44(1): 151-163. https://doi.org/10.12341/jssms22846
XU Linming , HE Xinjuan. Dynamic TOPSIS Evaluation Method Based on Connection Degree. Journal of Systems Science and Mathematical Sciences, 2024, 44(1): 151-163 https://doi.org/10.12341/jssms22846
中图分类号: 90B50   

参考文献

[1] Ma H W, Geng B X, Fu Y X, et al. Efficiency analysis of industrial water treatment in China based on two-stage undesirable fixed-sum output DEA model. Journal of Systems Science and Information, 2021, 9(6):660-680.
[2] 刘翱, 童泽平, 邓旭东, 等.基于改进TOPSIS法的P2P网贷平台运营效率评价. 系统科学与数学, 2017, 37(7):1620-1632. (Liu A, Tong Z P, Deng X D, et al. An improved TOPSIS evaluation of peer-to-peer lending's operational efficiency. Journal of Systems Science and Mathematical Sciences, 2017, 37(7):1620-1632.)
[3] Li J, Wang P, Tao X Y, et al. Productivity analysis for banks' merger and acquisition using two-stage DEA:Evidence from China. Journal of Systems Science and Information, 2021, 9(6):627-659.
[4] 张海涛,李泽中,刘嫣,等.基于组合赋权灰色关联TOPSIS的商务网络信息生态链价值流动综合评价研究.情报科学, 2019, 37(12):150-158. (Zhang H T, Li Z Z, Liu Y, et al. Comprehensive evaluation of value flow in business network information eco-chain based on combination weighted grey correlation grade TOPSIS model. Information Science, 2019, 37(12):150-158.)
[5] 张健. 基于HTFWGBM算子的供应商选择模型研究. 中国管理科学, 2019, 27(3):137-143. (Zhang J. Research on the model of supplier selection with HTFWGBM operator. Chinese Journal of Management Science, 2019, 27(3):137-143.)
[6] 刁莉娟,姚建,艾怡凝.基于SPA-TOPSIS耦合的工业绿色发展综合评价.生态经济, 2020, 36(9):54-57, 66. (Diao L J, Yao J, Ai Y N. Comprehensive evaluation of industrial green development based on SPA-TOPSIS method. Ecological Economy, 2020, 36(9):54-57, 66.)
[7] 朱梦菲,陈守明,邵悦心.基于AHP-TOPSIS和SOM聚类的区域创新策源能力评价.科研管理, 2020, 41(2):40-50. (Zhu M F, Chen S M, Shao Y X. An evaluation of creational and original innovation capacity of regions based on AHP-TOPSIS and SOM cluster analysis methods. Science Research Management, 2020, 41(2):40-50.)
[8] Hwang C L, Yoon K S. Multiple Attribute Decision Making Methods and Applications. Berlin:Springer-Verlag, 1981.
[9] Chang C H, Lin J J, Lin J H, et al. Domestic open-end equity mutual fund performance evaluation using extended TOPSIS method with different distance approaches. Expert Systems with Applications, 2009, 37(6):4642-4647.
[10] Wang Z X, Wang Y Y. Evaluation of the provincial competitiveness of the Chinese high-tech industry using an improved TOPSIS method. Expert Systems with Applications, 2014, 41(6):2824-2831.
[11] 华小义,谭景信.基于"垂面"距离的TOPSIS法——正交投影法.系统工程理论与实践, 2004, 24(1):114-119. (Hua X Y, Tan J X. Revised TOPSIS method based on vertical projection distance-vertical projection method. Systems Engineering—Theory & Practice, 2004, 24(1):114-119.)
[12] 刘树林,邱菀华.多属性决策的TOPSIS夹角度量评价法.系统工程理论与实践, 1996, 16(7):13-17, 95. (Liu S L, Qiu W H. The TOPSIS angle measure evaluation method for MADM. Systems Engineering—Theory & Practice, 1996, 16(7):13-17, 95.)
[13] 张目,周宗放.一种基于联系度的改进TOPSIS法.系统工程, 2008, 26(8):102-107. (Zhang M, Zhou Z F. An improved TOPSIS method based on connection degree. Systems Engineering, 2008, 26(8):102-107.)
[14] 孟凡生,邹韵.基于SPA-TOPSIS方法的能源结构优化程度评价.运筹与管理, 2018, 27(11):122-130. (Meng F S, Zou Y. The optimization degree evaluation of energy structure base on the SPA-TOPSIS. Operations Research and Management Science, 2018, 27(11):122-130.)
[15] 黄鲁成,刘春文,吴菲菲,等.一种基于联系向量"垂面"距离的改进TOPSIS多属性决策方法.系统工程, 2019, 37(6):119-129. (Huang L C, Liu C W, Wu F F, et al. An improved TOPSIS method based on vertical projection distance of connection vector. Systems Engineering, 2019, 37(6):119-129.)
[16] 吴飞美,林鸿熙.联系向量距离与灰色关联度结合的理想解法.系统科学与数学, 2022, 42(4):978-991. (Wu F M, Lin H X. TOPSIS method of connecting connection vector distance with grey correlation degree. Journal of Systems Science and Mathematical Sciences, 2022, 42(4):978-991.)
[17] 王霞.基于改进TOPSIS的三参数区间灰数多属性决策方法.系统科学与数学, 2021, 41(5):1328-1338. (Wang X. Multi-attribute decision making method based on improved TOPSIS under three-parameter interval grey number. Journal of Systems Science and Mathematical Sciences, 2021, 41(5):1328-1338.)
[18] 曾守桢,穆志民.基于混合加权距离的毕达哥拉斯模糊TOPSIS多属性决策方法研究. 中国管理科学, 2019, 27(3):198-205. (Zeng S Z, Mu Z M. A method based on hybrid weighted distance for pythagorean fuzzy TOPSIS multiple-attribute decision making. Chinese Journal of Management Science, 2019, 27(3):198-205.)
[19] 郭亚军.综合评价理论、方法及应用.北京:科学出版社, 2007. (Guo Y J. Comprehensive Evaluation Theory, Method and Application. Beijing:Science Press, 2007.)
[20] 易平涛,周莹,郭亚军.带有奖惩作用的多指标动态综合评价方法及其应用.东北大学学报(自然科学版), 2014, 35(4):597-599, 608. (Yi P T, Zhou Y, Guo Y J. Multivariate dynamic comprehensive evaluation method with reward and punishment function and its application. Journal of Northeastern University(Natural Science), 2014, 35(4):597-599, 608.)
[21] 易平涛,周义,郭亚军,等.一种体现发展趋势的动态综合评价方法.运筹与管理, 2016, 25(6):175-180. (Yi P T, Zhou Y, Guo Y J, et al. A dynamic comprehensive evaluation method embodying development tendency. Operations Research and Management Science, 2016, 25(6):175-180.)
[22] 马赞福,郭亚军,张发明,等.一种基于增益水平激励的动态综合评价方法.系统工程学报, 2009, 24(2):243-247. (Ma Z F, Guo Y J, Zhang F M, et al. Method of dynamic comprehensive evaluation based on gain level inspiriting. Journal of Systems Engineering, 2009, 24(2):243-247.)
[23] 张发明,肖文星.混合信息下的动态双激励评价机制设计及应用.中国管理科学, 2017, 25(12):138-146. (Zhang F M, Xiao W X. Design of dynamic double incentive evaluation mechanism and its application under mixed information. Chinese Journal of Management Science, 2017, 25(12):138-146.)
[24] 李美娟,陈国宏,林志炳,等.基于理想解法的动态评价方法研究.中国管理科学, 2015, 23(10):156-161. (Li M J, Chen G H, Lin Z B, et al. Dynamic evaluation method based on TOPSIS. Chinese Journal of Management Science, 2015, 23(10):156-161.)
[25] 李美娟,李晓轩,徐林明.基于改进理想解法的动态评价方法研究.系统科学与数学, 2016, 36(10):1659-1669. (Li M J, Li X X, Xu L M. Dynamic evaluation method based on improved TOPSIS. Journal of Systems Science and Mathematical Sciences, 2016, 36(10):1659-1669.)
[26] 徐林明,李美娟,戴前智.基于灰靶理论的动态评价方法.系统科学与数学, 2017, 37(1):112-124. (Xu L M, Li M J, Dai Q Z. Dynamic evaluation method based on grey target. Journal of Systems Science and Mathematical Sciences, 2017, 37(1):112-124.)
[27] 徐林明,林志炳,李美娟,等.基于模糊Borda法的动态组合评价方法及其应用研究.中国管理科学, 2017, 25(2):165-173. (Xu L M, Lin Z B, Li M J, et al. A dynamic combined evaluation method based on fuzzy Borda and its application. Chinese Journal of Management Science, 2017, 25(2):165-173.)
[28] 吴飞美, 李美娟, 毕骏莉, 等. 基于ELECTRE的动态评价方法及其应用研究. 系统科学与数学, 2018, 38(8):931-945. (Wu F M, Li M J, Bi J L, et al. Dynamic evaluation method based on ELECTRE and its application. Journal of Systems Science and Mathematical Sciences, 2018, 38(8):931-945.)
[29] 李美娟,袁宁,徐林明.基于正交投影法的动态评价方法.中国管理科学, 2020, 28(12):208-219. (Li M J, Yuan N, Xu L M. Dynamic evaluation method based on vertical projection method. Chinese Journal of Management Science, 2020, 28(12):208-219.)
[30] 徐林明,李美娟,卢锦呈.考虑决策者偏好的均衡接近度灰关联改进TOPSIS动态评价方法及其应用研究. 中国管理科学, 2023, 31(3):251-258. (Xu L M, Li M J, Lu J C. Dynamic evaluation method based on grey correlational analysis by the method of balance and approach and improved TOPSIS considering the preference of the decision maker. Chinese Journal of Management Science, 2023, 31(3):251-258.)
[31] Xu L M, Lu J C, Li M J, et al. Dynamic evaluation and analysis of regional innovation capability in Eastern China from the perspective of high-quality development. Journal of Systems Science and Information, 2021, 9(6):608-626.
[32] 刘微微,石春生,赵圣斌.具有速度特征的动态综合评价模型.系统工程理论与实践, 2013, 33(3):705-710. (Liu W W, Shi C S, Zhao S B. Dynamic comprehensive evaluation model with the feature of speed. Systems Engineering—Theory & Practice, 2013, 33(3):705-710.)
[33] 杜丹丽, 曾小春. 速度特征视角的我国高新技术企业创新能力动态综合评价研究. 科研管理, 2017, 38(7):44-53. (Du D L, Zeng X C. A dynamic and comprehensive evaluation of the innovation capability of China's high-tech firms from the perspective of speed characteristics. Science Research Management, 2017, 38(7):44-53.)
[34] 李舒沁,王灏晨,汪寿阳.人工智能背景下工业机器人发展水平综合动态评价研究——以制造业为例.系统工程理论与实践, 2020, 40(11):2958-2967. (Li S Q, Wang H C, Wang S Y. Research on the comprehensive dynamic evaluation of the development level of industrial robots in the context of artificial intelligence—Taking the manufacturing as an examples. Systems Engineering—Theory & Practice, 2020, 40(11):2958-2967.)
[35] 牛玉飞,张发明,袁胜军.泛强化激励动态评价模型及应用.中国管理科学, 2022, 31(6):241-252. (Niu Y F, Zhang F M, Yuan S J. Dynamic evaluation with generic reinforcement incentives and its application. Chinese Journal of Management Science, 2022, 31(6):241-252.)
[36] 黄诗童, 赵希男, 周岩.面向动态评价的长效机制及其构建研究. 中国管理科学, 2022, 30(5):180-191. (Huang S T, Zhao X N, Zhou Y. Long-term effective mechanism and construction for dynamic evaluation. Chinese Journal of Management Science, 2022, 30(5):180-191.)
[37] 赵克勤.集对分析对不确定性的描述和处理.信息与控制, 1995, (3):162-166. (Zhao K Q. Disposal and description of uncertainties based on the set pair analysis. Information and Control, 1995, (3):162-166.)
[38] 赵克勤,宣爱理. 集对论——一种新的不确定性理论方法与应用. 系统工程, 1996, 14(1):18-23, 72. (Zhao K Q, Xuan A L. Set pair theory—A new theory method of non-define and its applications. Systems Engineering, 1996, 14(1):18-23, 72.)
[39] 徐林明, 李美娟. 动态综合评价中的数据预处理方法研究. 中国管理科学, 2020, 28(1):162-169. (Xu L M, Li M J. A data preprocessing method in dynamic comprehensive evaluation. Chinese Journal of Management Science, 2020, 28(1):162-169.)
[40] 李美娟.区域自主创新能力动态评价及发展趋势研究.北京:科学出版社, 2015. (Li M J. Dynamic Evaluation and Development Trend of Regional Independent Innovation Ability. Beijing:Science Press, 2015.)
[41] 王勇, 李海英, 俞海. 中国省域绿色发展的空间格局及其演变特征. 中国人口资源与环境, 2018, 28(10):96-104. (Wang Y, Li H Y, Yu H. Analysis of spatial pattern and evolution characteristics of provincial green development in China. China Population, Resources and Environment, 2018, 28(10):96-104.)
[42] 方永恒, 赵雨萌. 汉江生态经济带绿色发展水平测度研究. 环境科学与技术, 2020, 43(12):228-236. (Fang Y H, Zhao Y M. Research on the measurement of the green development level of Han River Eco-economic Belt. Environmental Science and Technology, 2020, 43(12):228-236.)

基金

国家社会科学规划项目(22BGL044)资助课题.
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