Technical Papers
Jan 2, 2012

Principal Factor Analysis for Forecasting Diurnal Water-Demand Pattern Using Combined Rough-Set and Fuzzy-Clustering Technique

Publication: Journal of Water Resources Planning and Management
Volume 139, Issue 1

Abstract

The true principal factors for the diurnal water-demand pattern of urban water are often difficult to identify using traditional rough-set algorithms because the demand pattern is usually affected by many factors that are uncertain and hard to quantify. An improved attribute-reduction algorithm based on the cumulative weighting coefficient was proposed to solve this problem. The weighting coefficient was determined by the result of the variable precision rough-set algorithm. To discuss the consecutive curves with mathematical tools, an improved fuzzy c-mean (FCM) algorithm was proposed to discretize the diurnal water-demand pattern spatially. The proposed algorithms were then used to analyze the principal factors of the diurnal water-demand pattern in the city of Hangzhou, China. The results show that the improved attribute-reduction algorithm is capable of distinguishing the false attribute from the dynamic reduction sets, and the fuzzy c-mean algorithm is an effective and feasible method of solving the cluster problem for the consecutive curves. The principal factors affecting the diurnal water-demand pattern in Hangzhou are maximum air temperature, minimum air temperature, and weekday or weekend.

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Acknowledgments

The authors would like to thank the editor and the anonymous reviewers for the helpful comments on the paper. This work was supported by the key Special Program on the S&T of China for the Pollution Control and Treatment of Water Bodies (2009ZX07421-005, 2009ZX07423-004).

References

Adamowski, J. F. (2008). “Peak daily water demand forecast modeling using artificial neural networks.” J. Water Resour. Plann. Manage., 134(2), 119–128.
Aly, A. H., and Wanakule, N. (2004). “Short-term forecasting for urban water consumption.” J. Water Resour. Plann. Manage., 130(5), 405–410.
An, A., Shan, N., Chan, C., Cercone, N., and Ziarko, W. (1996). “Discovering rules from data for water demand prediction.” J. Intell. Real-Time Autom., Eng. Appl. Artif. Intell., 9(6), 645–654.
Attoh-Okine, N. O. (1997). “Rough set application to data mining principles in pavement management database.” J. Comput. Civ. Eng., 11(4), 231–237.
Bazan, J. G., Skowron, A., and Synak, P. (1994). “Dynamic reducts as a tool for extracting laws from decision tables.” Methodol. Intell. Syst., 869, 346–355.
Bezdek, J. C. (1981). Pattern recognition with fuzzy objective function algorithms, Plenum, New York.
Bezdek, J. C., and Hathaway, R. J. (1987). “Clustering with relational c-means partitions from pairwise distance data.” Mathl. Model., 9(6), 435–439.
Brtka, V., Stokić, E., and Srdić, B. (2008). “Automated extraction of decision rules for leptin dynamics—Rough sets approach.” J. Biomed. Inf., 41(4), 667–674.
Cheng, C. B., and Lee, E. S. (2001). “Fuzzy regression with radial basis function network.” Fuzzy Sets Syst., 119(2), 291–301.
Cheng, C.-C., and Lin, C.-J. (2011). “LIBSVM: A library for support vector machines.” ACM Trans. Intell. Syst. Sci. Tech., 2(27), 1–27.
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.
Hua, X. G., Ni, Y. Q., Ko, J. M., and Wong, K. Y. (2007). “Modeling of temperature–frequency correlation using combined principal component analysis and support vector regression technique.” J. Comput. Civ. Eng., 21(2), 122–135.
Jain, A., and Ormsbee, L. E. (2002). “Short-term water demand forecast modeling techniques—Conventional methods versus AI.” J. Am. Water Works Assoc., 97(7), 64–72.
Jan, A. F. (2008). “Peak daily water demand forecast modeling using artificial neural networks.” J. Water Resour. Plann. Manage., 134(2), 119–128.
Klir, G. J., and Yuan, B. (1995). Fuzzy sets and fuzzy logic-Theory and applications, Prentice Hall, Englewood Cliffs, NJ.
Kryszkiewicz, M. (1998). “Rough set approach to incomplete information systems.” Inf. Sci., 112(1–4), 39–49.
Maidment, D. R., and Miaou, S. P. (1984). “Daily water use in nine cities.” J. Water Resour. Plann. Manage., 110(1), 90–106.
Miaou, S. (1990). “A class of time series urban water demand models with non-linear climatic effects.” Water Resour. Res., 26(2), 169–l78.
Mushrif, M. M., and Ray, A. K. (2008). “Color image segmentation: Rough-set theoretic approach.” Pattern Recognit. Lett., 29(4), 483–493.
Nahm, E. S., and Woo, K. B. (1998). “Prediction of the amount of water supplied in wide-area waterworks.” Proc., of the 24th Annual Conference of the IEEE, Vol. 1, 265–268.
Nazire, M., Adem, O., and Suleyman, M. (1999). “Interpretation of water quality data by principal components analysis.” J. Eng. Environ. Sci., 23, 19–26.
Paul, W., and Xu, C. C. (1992). “Demand forecasting for water distribution systems.” Civ. Eng. Syst., 9(2), 105–121.
Pawlak, Z. (1982). “Rough set.” Int. J. Comput. Inf. Sci., 11(5), 341–356.
Pawlak, Z. (1991). Rough sets: Theoretical aspects of reasoning about data, Kluwer Academic Publishers Group, Boston.
Pawlak, Z. (2002). “Rough set theory and its applications.” J. Telecommun. Inf. Technol., (3), 7–10.
Polebitski, A. S., and Palmer, R. N. (2010). “Seasonal residential water demand forecasting for census tracts.” J. Water Resour. Plann. Manage, 136(1), 27–36.
Sanchis, A., Segovia, M. J., Gil, J. A., Heras, A., and Vilar, J. L. (2007). “Rough sets and the role of the monetary policy in financial stability (macroeconomic problem) and the prediction of insolvency in insurance sector (microeconomic problem).” Eur. J. Oper. Res., 181(3), 1554–1573.
Sikder, I. U., and Gangopadhyay, A. (2007). “Managing uncertainty in location services using rough set and evidence theory.” Expert Syst. Appl., 32(2), 386–396.
Tachibana, Y., and Ohnari, M. (1999). “Development of prediction model of hourly water consumption in water plant.” IEEE SMC ’99 Conf. Proc., 2, 710–715.
Teppola, P., Mujunen, S. P., and Minkkinen, P. (1999). “Adaptive fuzzy c-means clustering in process monitoring.” Chemom. Intell. Lab. Syst., 45(1–2), 23–38.
Tsai, Y., and Yang, C.-T. (2004). “Constrained fuzzy c-mean clustering algorithm for determining bridge let projects.” J. Comput. Civ. Eng., 18(3), 215–225.
Vapnik, V. N. (1999). “An overview of statistical learning theory.” IEEE Trans. Neural Networks, 10(5), 988–999.
Yang, H. H., Liu, T. C., and Lin, Y. T. (2007). “Applying rough sets to prevent customer complaints for IC packaging foundry.” Expert Syst. Appl., 32(1), 151–156.
Zhao, W. Q., Zhu, Y. L., and Gao, W. (2007). “An information filtering model based on decision-theoretic rough set theory.” Comput. Eng. Appl., 43(7), 185–187 (in Chinese).
Zhou, S. L., McMahon, T. A., and Lewis, W. J. (2000). “Forecasting daily urban water demand: A case study of Melbourne.” J. Hydrol. (Amsterdam), 236(3–4), 153–164.
Zhou, S. L., McMahon, T. A., Walton, A., and Lewis, J. (2002). “Forecasting operational demand for an urban water supply zone.” J. Hydrol., 259(1–4), 189–202.
Ziarko, W. (1993). “Variable precision rough set model.” J. Comput. Syst. Sci., 46(1), 39–59.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 139Issue 1January 2013
Pages: 23 - 33

History

Received: Jan 31, 2011
Accepted: Dec 29, 2011
Published online: Jan 2, 2012
Published in print: Jan 1, 2013

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Authors

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Jing-qing Liu [email protected]
Associate Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]
Wei-ping Cheng [email protected]
Associate Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou 310058, China (corresponding author). E-mail: [email protected]
Tu-qiao Zhang [email protected]
Professor, College of Civil Engineering and Architecture, Zhejiang Univ., Hangzhou 310058, China. E-mail: [email protected]

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