Abstract
Flood classification is an effective way to improve flood forecasting accuracy. According to the opposite unity mathematical theorem in Variable Sets theory, this paper proposes a Variable Sets principle and method for flood classification, which is based on the mathematical theorem of dialectics basic laws. This newly proposed method explores a novel way to analyze and solve engineering problems by utilizing a dialectical thinking. In this paper, the Tuwei River basin, located in the Yellow River tributary, is taken as an example for flood classification. The results obtained in this study reveal the problems in a previous method—Set Pair Analysis classification method. The variable sets method is proven to be theoretically rigorous, computationally simple. The classification results are objective, accurate and consistent with the actual situations. This study demonstrates the significant importance of using a scientifically sound method in solving engineering problems.
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References
Zhou X Y, Zhang Y C. Flood classifying prediction and optimal flood dispatching (in Chinese). Adv water Sci, 1997, 8(2): 123–129
Ma Y W, Zhou X Y, Shang J C, et al. A new method for flood types prediction and optimal control (in Chinese). J Hydraul Eng, 1997, 28(4): 1–8
Xu D M, Chen S Y, Qiu L. Study on flood classification based on Variable Fuzzy Sets Theory (in Chinese). Water Resour Power, 2011, (1): 23–27
Chen S Y. Fuzzy Hydrology and Water Resource System Fuzzy Optimization Principle (in Chinese). Dalian: Dalian University of Technology Press, 1990
Lu HJ, Chen Y C. The gray clustering method of the evaluation of flood severity (in Chinese). Proceedings of International Symposium on Floods and Droughts. Nanjing: Hehai University Press, 1999. 72–77
Jian J L, Wang Z Z, Ding J. Flood classification model based on projection pursuit. In: Xi R Z, Gu W Z, Seiler P K, eds. Research Basins and Hydrological Planning. Fort Collins: AA.Balkema Publishers, 2004. 177–179
Wang W S, Li Y Q, Jin J L, et al. Hydrology and Water Resources Set Pair Analysis (in Chinese). Beijing: Science Press, 2010
Xie Y X, Wang W S, Zeng S C. Study on flood classification based on Fractal Fuzzy Set Pair Analysis method (in Chinese). Water Resour Power, 2012, 30(11): 31–34
Wang W S, Li Y Q, Qin N S. Study on flood classification based on Set Pair Analysis (in Chinese). Plat Mount Metrl Res, 2009, 29(1): 51–54
Zhou Q, Zhou J Z, Zhou C et al. Comprehensive flood risk assessment based on set pair analysis-variable fuzzy sets model and fuzzy AHP. Stoch Environ Res Risk Assess, 2013, 27: 525–546
Corduas M. Clustering-streamflow time series for regional classification. J Hydrol, 2011(407): 73–80
Ren M L, Wang B D, Liang Q H, et al. Classified real-time flood forecasting by coupling fuzzy clustering and neural network. Int J Sediment Res, 2010, 25(2): 134–148
Chen S Y, Guo Y. Variable fuzzy sets and its application in comprehensive risk evaluation for flood-control system. Fuzzy Opt Dec Making, 2006, 5(2): 153–162
Khatami R Z, Mountrakis G. Implications of classification of methodological decisions in flooding analysis from Hurricane Katrina. Rem Ses, 2012, 4: 3877–3891
Yang Q L, Shao J M, Scholz M, et al. Multi-label classification models for sustainable flood retention basins. Environ Modell Softw, 2012, 32: 27–36
Calianno M, Ruin I, Gourley J J. Supplementing flash flood reports with impact classifications. J Hydrol, 2013, 477: 1–16
Chen S Y. Application of quality-quantity exchange theorem to the recognition of Extenics and Set Pair Analysis’s basic errors (in Chinese). China Sci Tech Achieve, 2013, (9): 72–74
Chen S Y. Variable Sets-the development of Variable Fuzzy Sets and Application in assessment of water resource (in Chinese). Math Pract Theory, 2012, 42(1): 92–101
Chen S Y. Variable sets and the theorem and method of optimal decision making for water resource system (in Chinese). J Hydraul Eng, 2012, 43(9): 1066–1074
Chen S Y. The expansion of the fuzzy variable sets: Variable Sets and theory extension zero bound correlation function is equal to zero error (in Chinese). Mathematics and Its Application. Beijing: Atomic Energy Press, 2007
Chen S Y. Variable sets assessment theory and method of water resource system (in Chinese). J Hydraul Eng, 2013, 44(2): 134–142
Chen S Y. Engineering Fuzzy Set Theory and Application (in Chinese). Beijing: National Defense Industry Press, 1998
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Chen, S., Xue, Z. & Li, M. Variable Sets principle and method for flood classification. Sci. China Technol. Sci. 56, 2343–2348 (2013). https://doi.org/10.1007/s11431-013-5304-4
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DOI: https://doi.org/10.1007/s11431-013-5304-4