Augmented fractional accumulation grey model and its application: Class ratio and restore error perspectives

Jing He, Shuhua Mao and Yuxiao Kang

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 209, issue C, 220-247

Abstract: Compared with the traditional first-order accumulation, fractional accumulation is a more efficient data transformation technique, whose order can be determined by the original sequence thus the smoothness and concavity of the data can be effectively improved, but this data-driven property affects the reliability and stability of the prediction while bringing high fitting accuracy. At the same time, the class ratio of the original data and the restore error of the grey model can reflect the degree of matching between the data and the model. Therefore, we summarize a set of methods to study these two perspectives by means of matrix decomposition, function analysis and numerical simulation, and then introduce the augmented fractional accumulation grey model with order optimization constraints. Through empirical test and case analysis, the established model whose modeling process is more rigorous has greater prediction effect and higher modeling efficiency, and can be extended to different fractional accumulated generating operators.

Keywords: Fractional accumulation; Class ratio; Restore error; Numerical simulation; Optimal search range (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423000812
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:209:y:2023:i:c:p:220-247

DOI: 10.1016/j.matcom.2023.02.008

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().