Title
Long-term prediction of time series based on stepwise linear division algorithm and time-variant zonary fuzzy information granules.
Abstract
In the study of the long-term prediction of time series with high noise and nonlinearity, the trend information and fluctuation range of the sequence data is usually more valuable and practical than the forecasting of the specific values at time points. A method named as stepwise linear division (SLD) is constructed for the variable-length partition of fuzzy information granule (FIG), characteristics of which are extracted from the original data distribution of time series. Secondly, based on the above partition algorithm, a novel fuzzy information granule is first proposed, which can characterize the variant trend of the data, the range of fluctuation and the degree of dispersion. Moreover, the reliability of the prediction results can be quantified. After granulating time series, a rule-based fuzzy inference system is established to achieve the prediction of time series. Synthetic sequences and real-life time series, including chaotic Mackey–Glass time series, temperature, sunspot numbers, milk production and financial data are utilized in experiments to verify the effectiveness of the proposed scheme. The experimental results demonstrate that the proposed model can contain more rich semantic information and produce better long-term prediction performance compared with existing numeric models and fuzzy inference systems.
Year
DOI
Venue
2019
10.1016/j.ijar.2019.02.005
International Journal of Approximate Reasoning
Keywords
Field
DocType
Time series prediction,Time-variant zonary fuzzy information granule,Stepwise linear division,Fuzzy inference system
Partition problem,Division algorithm,Nonlinear system,Long-term prediction,Fuzzy logic,Algorithm,Semantic information,Artificial intelligence,Chaotic,Partition (number theory),Machine learning,Mathematics
Journal
Volume
Issue
ISSN
108
1
0888-613X
Citations 
PageRank 
References 
2
0.35
0
Authors
3
Name
Order
Citations
PageRank
Chao Luo1103.23
Chenhao Tan262432.85
Yuanjie Zheng367155.01