Properties of the GM(1, 1) with fractional order accumulation

作者：

Highlights：

• The changing of initial condition does not affect the simulative value of GM(1, 1) model.

• Simulative value is an exponential model when actual sequence is nonnegative increased.

• Practical examples are used to validate the effectiveness of proposed GM(1, 1).

摘要

•The changing of initial condition does not affect the simulative value of GM(1, 1) model.•Simulative value is an exponential model when actual sequence is nonnegative increased.•Practical examples are used to validate the effectiveness of proposed GM(1, 1).

论文关键词：Grey system theory,The initial condition,The monotonicity and convexity,Fractional order accumulation

论文评审过程：Available online 29 December 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.12.014