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Adaptive Non-Stationary Fuzzy Time Series Forecasting with Bayesian Networks
1School of Control Science and Engineering, Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.
This study introduces a novel hybrid fuzzy time series forecasting model (FTSFM) to effectively handle non-stationary time series data. The enhanced model integrates time-variant FTSFM, Bayesian networks, and non-stationary fuzzy sets for improved forecasting accuracy.
Area of Science:
- Artificial Intelligence
- Data Science
- Time Series Analysis
Background:
- Fuzzy Time Series Forecasting Models (FTSFM) excel in interpretability but struggle with non-stationary time series.
- Existing models lack robustness when adapting to evolving data patterns.
Purpose of the Study:
- To develop a novel hybrid FTSFM capable of accurately forecasting non-stationary time series.
- To enhance FTSFM by integrating time-variant methods, Bayesian networks, and non-stationary fuzzy sets.
Main Methods:
- Applied first-order differencing to reduce non-stationarity and capture fluctuation information.
- Developed a time-variant FTSFM updating method merging historical data with new observations.
- Integrated non-stationary fuzzy sets and prediction residuals for fuzzy set updates.
- Employed an adaptive Bayesian network structure learning method to model temporal dependencies.
Main Results:
- The proposed hybrid model demonstrated superior performance compared to benchmark algorithms.
- The integration of novel components effectively addressed the challenges of non-stationary data.
- Dynamic quantitative modeling captured complex fuzzy relationships between historical and predicted moments.
Conclusions:
- The novel hybrid FTSFM offers a significant advancement in forecasting non-stationary time series.
- The model provides enhanced stability and sensitivity to time series changes.
- This approach effectively merges historical temporal patterns with emerging characteristics for robust forecasting.
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