统计与决策2025，Vol.41Issue(19)：47-53,7.DOI:10.13546/j.cnki.tjyjc.2025.19.008
考虑子系统联动性的耦合效应量化方法
Coupling Effect Quantification Methods Considering Subsystem Linkages
摘要
Abstract
In order to reveal the dynamic equilibrium relationship of subsystem linkage under high-dimensional system,this paper proposes a coupling effect quantification method of high-dimensional system.Firstly,the data processing method consider-ing the subsystem linkage is given.Secondly,the basic form of the high-dimensional coupling degree function is reshaped;the gray correlation matrix of the high-dimensional system is constructed,and the test method for the coupling effect of the high-di-mensional system is derived.Finally,the feasibility of the method is verified by assessing the coupling effect of China's high qual-ity economic development system.The results of the study are shown as the following:After the data processing considering the linkage of subsystems,the development level of each subsystem has changed significantly,mainly in terms of the range of values,sample discrimination,and regional ranking.The correlation of basic indexes and subsystem coupling effect are not sufficient con-ditional relationships,and the evaluation results of coupling effect based on gray correlation matrix are less distinguished.There are differences in the evaluation results of different coupling degree functions,and the coupling degree function based on the har-monic mean and squared mean under the principle of high discrimination is the optimal method.The statistical test of coupling ef-fect based on deviation index not only enables the comparison of the coupling degree of the samples,but also allows for the explo-ration of the reasons for extremely poor coupling from the perspective of subsystems.关键词
耦合效应/子系统联动性/耦合度函数/灰色关联矩阵/偏离指数Key words
coupling effect/subsystem linkage/coupling degree function/gray correlation matrix/deviation index分类
管理科学引用本文复制引用
安博文,许培源,李晓天..考虑子系统联动性的耦合效应量化方法[J].统计与决策,2025,41(19):47-53,7.基金项目
全国统计科学研究项目(2025LY001) （2025LY001）
四川省高等学校人文社会科学重点研究基地成渝地区双城经济圈科技创新与新经济研究中心项目(CYCX2025ZC40) （CYCX2025ZC40）
成都市哲学社会科学研究中心人与自然和谐共生的美丽城市建设研究中心项目(MLCS2025ZC32) （MLCS2025ZC32）
