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Updated: Nov 26, 2025

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Published on: September 26, 2017
A novel stochastic wastewater quality modeling based on fuzzy techniques
Khadije Lotfi1, Hossein Bonakdari2, Isa Ebtehaj1
1Environmental Research Center, Razi University, Kermanshah, Iran.
This study introduces a hybrid model combining autoregressive integrated moving average (ARIMA) and adaptive neuro fuzzy inference system with fuzzy C-means clustering (ANFIS-FCM) for wastewater quality prediction. The hybrid approach significantly improves the accuracy of predicting biochemical oxygen demand (BOD), chemical oxygen demand (COD), and total suspended solids (TSS).
Area of Science:
- Environmental Science and Engineering
- Water Quality Monitoring and Management
- Computational Intelligence in Environmental Modeling
Background:
- Accurate measurement and prediction of wastewater quality parameters are essential for assessing risks to receiving water bodies.
- Existing non-linear modeling approaches for wastewater quality parameters like BOD, COD, and TSS have limitations in prediction accuracy.
- Effective data pre-processing techniques, including outlier identification and smoothing, are critical for robust wastewater quality modeling.
Purpose of the Study:
- To develop and evaluate novel data pre-processing methods for wastewater quality modeling.
- To compare the performance of a new hybrid model against existing linear and non-linear approaches.
- To enhance the prediction accuracy of key wastewater quality parameters: 5-day biochemical oxygen demand (BOD), chemical oxygen demand (COD), and total suspended solids (TSS).
Main Methods:
- Development of a hybrid data processing technique combining autoregressive integrated moving average (ARIMA) models with adaptive neuro fuzzy inference system with fuzzy C-means clustering (ANFIS-FCM).
- Application of the hybrid method for outlier identification and data smoothing prior to modeling.
- Comparison of the hybrid model's performance against selected linear models and previously employed non-linear methods for influent/effluent wastewater parameters.
Main Results:
- The hybrid ARIMA-ANFIS-FCM model demonstrated superior performance in predicting wastewater quality parameters, achieving a high coefficient of determination (R²) of 0.95 for influent BOD.
- Non-linear models showed acceptable predictions, with R² values ranging from 0.8-0.87 for influent and 0.83-0.89 for effluent BOD and TSS.
- The developed hybrid model significantly outperformed other recently developed models in the literature for wastewater quality prediction.
Conclusions:
- The integration of ARIMA and ANFIS-FCM provides an effective hybrid approach for wastewater quality parameter prediction.
- The proposed hybrid model enhances the performance and efficiency of wastewater quality modeling, offering improved accuracy over existing methods.
- This advanced modeling technique is crucial for better management and protection of receiving water bodies from wastewater pollution.
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