Hybrid Fuzzy Regression–Artificial Neural Network for Improvement of Short-Term Water Consumption Estimation and Forecasting in Uncertain and Complex Environments: Case of a Large Metropolitan City
Publication: Journal of Water Resources Planning and Management
Volume 138, Issue 1
Abstract
This study presents a hybrid approach consisting of artificial neural network (ANN), fuzzy linear regression (FLR), and analysis of variance (ANOVA) for improvement of water consumption forecasting. Hence, this approach can be easily applied to uncertain or certain, or complex environments given its flexibility. The proposed hybrid approach is applied to forecast short-term water consumption in Tehran, Iran from April 5, 2004, to March 21, 2009. In this study, daily water consumption is viewed as the resultant of future and historical meteorological data. Implementation of the hybrid approach in a large metropolitan city such as Tehran seems to be ideal because of potential nonlinearity and uncertainty in the water consumption function of Tehran, Iran. The results of mean absolute percentage error (MAPE) indicate that selected ANN outperforms selected FLR on warm days. However, both ANN and FLR are ideal for cold days. To verify and validate the results, a sensitivity analysis is carried out by changing the train and test data sets. Finally, the comparison of the MAPE results of the hybrid approach with conventional linear regression confirms its considerable superiority for both warm and cold days.
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Acknowledgments
The writers are grateful for the valuable comments and suggestions from the respected reviewers. Their valuable comments and suggestions have enhanced the strength and significance of our paper. The writers would like to acknowledge the financial support of University of Tehran for this research under Grant No. UNSPECIFIED8106013/1/07.
References
Altunkaynak, A., Özger, M., and Çakmakci, M. (2005). “Water consumption prediction of Istanbul city by using fuzzy logic approach.” Water Resour. Manage., 19(5), 641–654.
An, A., Chan, C., Shan, N., Cercone, N., and Ziarko, W. (1997). “Applying knowledge discovery to predict water-supply consumption.” IEEE Expert, 12(4), 72–78.
Atsalakis, G., and Ucenic, C. (2005). “Time series prediction of water consumption using neuro-fuzzy (ANFIS) approach.” IWA Int. Conf. on Water Econ., Stat. and Financ., International Water Association (IWA) London.
Azadeh, A., Ghaderi, S. F., and Sohrabkhani, S. (2008b). “A simulated-based neural network algorithm for forecasting electrical energy consumption in Iran.” Energy Policy, 36(7), 2637–2644.
Bruse, J. P., and Clark, R. H. (1966). Introduction to Hydrometeorology, 1st Ed., Pergamon Press, Oxford, U.K, 319.
Ghiassi, M., Zimbra, D. K., and Saidane, H. (2008). “Urban water demand forecasting with a dynamic artificial neural network model.” J. Water Resour. Plann. Manage., 134(2), 138–146.
Hall, E., and Watson, M. (2000). “Urban water consumption.” Water Sewage Effluent Magazine, 31, 1–10.
Hojati, M., Bector, C. R., and Smimou, K. (2005). “A simple method for computation of fuzzy linear regression.” Eur. J. Oper. Res., 166(1), 172–184.
Hong, D. H., and Yi, H. C. (2003). “A note on fuzzy regression model with fuzzy input and output data for manpower forecasting.” Fuzzy Set. Syst., 138(2), 301–305.
Joo, C. N., Koo, J. Y., and Yu, M. J. (2002). “Application of short-term water demand prediction model to Seoul.” J. Water Sci. Technol., 46(6-7), 255–261.
Jozsef, S. (1992). “On the effect of linear data transformations in possibilistic fuzzy linear regression.” Fuzzy Set. Syst., 45(2), 185–188.
Juan, C., Zhou-hu, W. U., and Yao, J. (2008). “Forecast of urban domestic water demand in Qingdao.” J. Qingdao Technol. Univ., 01.
Liu, H. B., and Zhang, H. W. (2006). “Short-term water consumption forecast in municipal water supply networks based on wavelet decomposition.” China Water Wastewater, 17.
Ma, F. H., Yang, W., Yang, F., and Yu, X. X. (2004). “Forecast water consumption with improved BP neural network.” J. Liaoning Technol. Univ., 02.
Oliveira, D. M., Oliveira, A. L., Neri Nobre, C., and Zarate, L. E. (2009). “The usage of artificial neural networks in the classification and forecast of potable water consumption.” Int. Jt. Conf. on Neural Netw., Atlanta, GA, 2331–2338.
Ozelkan, E. C., and Duckstein, L. (2000). “Multi-objective fuzzy regression: A general framework.” Comput. Oper. Res., 27(7-8), 635–652.
Peters, G. (1994). “Fuzzy linear regression with fuzzy intervals.” Fuzzy Set. Syst., 63(1), 45–55.
Pulido-Calvo, I., Roldan, J., Lopez-Luque, R., and Gutierrez-Estrada, J. (2003). “Demand forecasting for irrigation water distribution systems.” J. Irrig. Drain. Eng., 129(6), 422–431.
Sakawa, M., and Yano, H. (1992). “Multi-objective fuzzy linear regression analysis for fuzzy input-output data.” Fuzzy Sets Syst., 47(2), 173–181.
Song, Q. (2007). “Forecast of the water consumption in agriculture based on grey Markova model.” J. Anhui Agric. Sci., 06.
Steven, G. B., and Li, Z. (2007). “A modeling system for simulation of stochastic water demands.” Proc., World Environ. on Water Resour. Congr., ASCE, Reston, VA.
Tanaka, H., Hayashi, I., and Watada, J. (1989). “Possibilistic linear regression analysis for fuzzy data.” Eur. J. Oper. Res., 40(3), 389–396.
Tanaka, H., Uejima, S., and Asia, K. (1982). “Linear regression analysis with fuzzy model.” IEEE Trans., System Man Cybern., 12, 903–907.
Wang, L., Wang, Z., and Yue, L. (2007). “Forecast model of urban daily water consumption based on particle swarm optimization.” China Water Wastewater, 07.
Zhang, G. P., and Qi, M. (2005). “Neural network forecasting for seasonal and trend time series.” Eur. J. Oper. Res., 160(2), 501–514.
Zhang, J., Song, R., Bhaskar, N. R., and French, M. N. (2007). “PRPsym: A modelling system for simulation of stochastic water demands.” Proc., World Environ. on Water Resour. Congr., ASCE, Reston, VA.
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© 2012 American Society of Civil Engineers.
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Received: Apr 13, 2010
Accepted: Mar 10, 2011
Published online: Mar 12, 2011
Published in print: Jan 1, 2012
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