基于背景值和灰作用量的灰色Verhulst优化模型  

Optimizing Grey Verhulst Model Based on Background Value and Grey Action Quantity

作　　者：龙钊 何建华 龙霞 LONG Zhao;HE Jian-hua;LONG Xia(Sichuan Vocational College of Health and Rehabilitation,Zigong 643000,China;School of Automation and Information Engineering,Sichuan University of Science&Engineering,Zigong 643000,China;School of Computer Science,Sichuan University of Science&Engineering,Zigong 643000,China)

机构地区：[1]四川卫生康复职业学院,四川自贡643000 [2]四川轻化工大学自动化与信息工程学院,四川自贡643000 [3]四川轻化工大学计算机学院,四川自贡643000

出　　处：《数学的实践与认识》2021年第10期323-328,共6页Mathematics in Practice and Theory

基　　金：四川省智慧旅游研究基地规划项目(ZHYJ19-02)。

摘　　要：利用三参数重构灰色模型背景值,并引入二次项优化灰作用量,从而构建了基于背景值和灰作用量优化的灰色Verhulst模型,然后利用离散思想推导出该模型的离散递推模型.此外,运用最小二乘法求解其参数,再利用递推程序求解出模拟预测值,有效的简化了求解过程.通过例题表明,模型模拟精度明显提高且能在实际应用中发挥作用.In this paper,three parameters are used to reconstruct the background value of the grey model,grey action quantity is optimized for introducing Quadratic term,then the grey Verhulst model based on the optimization of background value and grey action quantity is constructed.After that,the discrete recursive model is obtained by using the discrete idea.In addition,the least square method is used to solve the parameters,and then the recursive program is used to solve the simulation prediction value,which effectively simplifies the solution process.The cases show that the simulation accuracy of the model is obviously improved and can play a role in practical application.

关 键 词：背景值 灰作用量 离散模型 递推模型 

分 类 号：N941.5[自然科学总论—系统科学]