浙江大学学报(理学版)2024,Vol.51Issue(2):196-204,9.DOI:10.3785/j.issn.1008-9497.2024.02.008
基于Conformable分数阶导数的灰色Bernoulli模型
Grey Bernoulli model based on Conformable fractional order derivatives
摘要
Abstract
To enhance the adaptability of the grey Bernoulli model to various real data series,a grey Bernoulli model based on Conformable fractional order derivatives is proposed by taking advantage of the fractional order calculus in describing complex systems.It is found that the proposed model can be converted to some classical grey prediction models by replacing its structural parameters,which reflects its uniformity.Moreover,the particle swarm optimization algorithm is used to solve the planning model to obtain the optimal hyperparameters of the proposed model.The experimental results show that the two evaluation indicators of the proposed model are superior to the five competing algorithms,which confirms the validity and feasibility of the new model.关键词
灰色系统/Conformable分数阶导数/灰色Bernoulli模型/粒子群优化算法Key words
grey system/Conformable fractional derivative/grey Bernoulli model/particle swarm optimization algorithm分类
自科综合引用本文复制引用
骆世广,曾亮..基于Conformable分数阶导数的灰色Bernoulli模型[J].浙江大学学报(理学版),2024,51(2):196-204,9.基金项目
广东省教育科学"十三五"规划2020年度研究项目(2020JKDY040). (2020JKDY040)