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A Novel Weighted Fractional GM(1,1) Model and Its Applications
Joint Authors
Shen, Qin-Qin
Shi, Quan
Tang, Tian-Pei
Yao, Lin-Quan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-20
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Based on the ideas of the new information priority principle and the fractional-accumulation generating operator, in this paper we propose a novel weighted fractional GM(1,1) (WFGM(1,1)) prediction model.
In the new model, the original sequence is first transformed by using the weighted fractional-accumulation generating operator, which involves two parameters.
With special choices of these parameters, the proposed WFGM(1,1) model reduces to the classical GM(1,1) model and the fractional GM(1,1) (FGM(1,1)) model, as well as the new information priority GM(1,1) (NIPGM(1,1)) model studied recently.
Stability property of the WFGM(1,1) model is studied in detail.
In practice, the quantum particle swarm optimization algorithm is adopted to choose the quasi-optimal parameters for the new model so as to get the best fitting accuracy.
Finally, four numerical examples from different practical applications are present.
Numerical results show that the new proposed prediction model is very efficient and has both the best fitting accuracy and the best prediction accuracy compared with the GM(1,1) and the FGM(1,1) as well as the NIPGM(1,1) prediction models.
American Psychological Association (APA)
Shen, Qin-Qin& Shi, Quan& Tang, Tian-Pei& Yao, Lin-Quan. 2020. A Novel Weighted Fractional GM(1,1) Model and Its Applications. Complexity،Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1142985
Modern Language Association (MLA)
Shen, Qin-Qin…[et al.]. A Novel Weighted Fractional GM(1,1) Model and Its Applications. Complexity No. 2020 (2020), pp.1-20.
https://search.emarefa.net/detail/BIM-1142985
American Medical Association (AMA)
Shen, Qin-Qin& Shi, Quan& Tang, Tian-Pei& Yao, Lin-Quan. A Novel Weighted Fractional GM(1,1) Model and Its Applications. Complexity. 2020. Vol. 2020, no. 2020, pp.1-20.
https://search.emarefa.net/detail/BIM-1142985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142985