摘要
针对传统Verhulst模型的建模对象仅局限于实数序列这一缺陷,对Verhulst模型进行了拓展.首先,对"灰度不减"公理进行延伸,得到了"信息域不减"的推论;然后,构建核序列的Verhulst模型,并以信息域不减推论为依据、以核为中心推导区间灰数上(下)界的时间响应式;最后,通过实例演示了模型的计算步骤.所进行的研究对于丰富和完善灰色预测模型理论体系、拓展灰色预测模型的应用范围具有积极意义.
Modeling objects of traditional Verhulst model are only suitable for real number sequences.Therefore,an expanding study of Verhulst model is given.Firstly,the axiom of grey degree not-reducing is expanded,and the conclusion of information field not-reducing is obtained.Then a Verhulst model based on the kernel sequence of interval grey numbers is obtained.On the foundation of the conclusion of information field not-reducing,this paper deduces the time response formulas of lower limit point and upper limit point of interval grey numbers through the centers of kernels of interval grey numbers.Finally,an example demonstrates the calculation process of the new model.Then proposed model has a vital significance for enriching and perfecting the grey prediction model theory system,and extending the applied scope of grey prediction model.
出处
《控制与决策》
EI
CSCD
北大核心
2013年第2期264-268,共5页
Control and Decision
基金
国家自然科学基金项目(71271226)
重庆自然科学基金项目(cstc2012jjA00017)
教育部人文社科研究项目(11YJC630273)
重庆市教委人文社科研究重点项目(11SKH03)
重庆市教委科学技术研究项目(KJ120706)
