Properties of the \(\mathrm{GM}(1,1)\) with fractional order accumulation

DOI10.1016/j.amc.2014.12.014zbMath1338.62014OpenAlexW2039918975MaRDI QIDQ298726

Zhigeng Fang, Lifeng Wu, Si-Feng Liu, Hai-Yan Xu

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.014

zbMATH Keywords

initial conditionfractional order accumulationgrey system theorymonotonicity and convexity

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• On novel grey forecasting model based on non-homogeneous index sequence
• A novel grey forecasting model and its optimization
• The necessary and sufficient condition for GM(1, 1) grey prediction model
• Grey system model with the fractional order accumulation
• Parameter optimization of nonlinear grey Bernoulli model using particle swarm optimization
• A kind of BP neural network algorithm based on grey interval
• A generalization of the GM(1,1) direct modeling method with a step by step optimizing grey derivative's whiten values and its applications

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