系统耦合协同评价模型的改进及其应用

Improvement and Application of System Coupling Cooperative Evaluation Model

协同评价是解决系统间同步与共生关系的重要手段。针对经典耦合协同模型存在的多种问题与不足,文章提出了基于增长率和相离度的双系统协同评价模型,该模型能有效解决原模型存在的主要问题,并通过数学上的分析讨论了模型的相关性质。针对模型中的参数设置问题,通过仿真实验分析了其敏感性和稳健性,并通过算例进一步验证了所提模型的实用性与合理性。同时,进一步讨论了模型在多系统和非时序数据方面的扩展问题。新模型对解决社会经济发展各领域的系统协同性评价问题具有一定的参考意义。

Collaborative evaluation is an important method to solve the synchronization and symbiosis relationship between systems.Aiming at the problems and shortcomings of the classical coupled cooperative model,this paper proposes a dual-system cooperative evaluation model based on growth rate and separation degree,which model can effectively solve the main problems existing in the original model,and discusses the related properties of the model through mathematical analysis.Aiming at the problem of parameter setting in the model,the paper analyzes the sensitivity and robustness of the model by simulation experi⁃ments,and also employs examples to verify the practicability and rationality of the proposed model.In addition,the paper discuss⁃es the extension of the model in terms of multi-system and non-sequential data.The new model has certain reference signifi⁃cance for solving the issue of systematic cooperative evaluation in various fields of social and economic development.