TOPSIS-模糊综合评判法在优选水文频率参数估计方法中的应用
The Application of the TOPSIS-Fuzzy Comprehensive Evaluation Method Used in the Method of Optimizing the Hydrologic Frequency Parameter Estimation

作者: 雷冠军 , 王文川 , 刘 宽 , 邱 林 :华北水利水电大学水利学院,河南 郑州;

关键词: 水文频率分析参数估计TOPSIS方法模糊综合评判Hydrological Frequency Analysis Parameter Estimation TOPSIS Method Fuzzy Comprehensive Evaluation

摘要:
矩法、权函数法、数值积分单权函数法、数值积分双权函数法以及概率权重矩法等方法是水文频率参数初值估计的常用方法,可直接通过图解法主观判断计算出的参数值的优劣,却没有定量的评价准则。为了寻求良好的评判方法,将TOPSIS方法与模糊综合评判方法相结合,并与传统的TOPSIS-余弦法相比较发现,TOPSIS-模糊综合评判法具有较良好的评价性能。采用四种不同的评价准则,运用加权法对传统的参数估计结果进行定量分析,评价结果与适线法的直观效果相符合,该方法具有较严密的理论评价基础和合理的评价结果,可用于其他多目标评价方法中。

Abstract: Hydrological frequency parameter is estimated by method of moment, weight function method, numerical integral single (or double) weight function method, probability weighted moment method and so on. These methods all have their own theoretical basis and have been used to calculate the parameters of distribution as initial values. The graphical method can be used to directly with the optimum line to judge the merits of parameters with no quantitative evaluation criteria. The TOPSIS method combined with fuzzy comprehensive evaluation method is compared with TOPSIS-cosine method to be found that the method in this article has good performance evaluation. The results of this study show that the evaluation results conform to the optimal line method with four different evaluation criteria and the weighted method for quantitative analysis. The proposed method can be used in other multi-objective evaluation method with the strict evaluation theory.

文章引用: 雷冠军 , 王文川 , 刘 宽 , 邱 林 (2015) TOPSIS-模糊综合评判法在优选水文频率参数估计方法中的应用。 水资源研究, 4, 200-207. doi: 10.12677/JWRR.2015.42024

参考文献

[1] 水利部长江水利委员会. 水利水电工程设计洪水计算规范[S]. 北京: 水利水电出版社, 1993.

[2] Ministry of Water Re-sources of the Yangtze River Water Resources Commission. Water resources and hydropower engineering specification design flood calculation. Beijing: China Water Power Press, 1993. (in Chinese)

[3] 马秀峰. 计算水文频率参数的权函数法[J]. 水文, 1984, (3): 1-8.

[4] MA Xiufeng. Calculation of hydrological frequency parameters of weight function method. Journal of China Hydrology, 1984, (3): 1-8. (in Chinese)

[5] 刘光文. 皮尔逊III型分布参数估计[J]. 水文, 1990, (4): 1-15.

[6] LIU Guangwen. Pearson type III distribution parameter estimation. Journal of China Hydrology, 1990, (4): 1-15. (in Chinese)

[7] 宋德敦, 丁晶. 概率权重矩法及其在P-III分布中的应用[J]. 水利学报, 1988, (3): 1-11.

[8] SONG Dedun, DING Jing. Probability weighted moment method and its application in P-III distribution. Journal of Hydraulic Engineering, 1988, 3(3): 1-11. (in Chinese)

[9] 陈元芳, 沙志贵, 陈剑池, 陈民. 具有历史洪水时P-III型分布线性矩法的研究[J]. 水文, 2001, 29(4): 76-80.

[10] CHEN Yuanfang, SHA Zhigui, CHEN Jianchi and CHEN Min. Study on L-moment estimation method for P-III distribution with historical flood. Journal of China Hydrology, 2001, 29(4): 76-80. (in Chinese)

[11] 丛树铮, 谭维炎, 黄守信, 等. 水文频率计算中参数估计方法的统计试验研究[J]. 水利学报, 1980, (3): 1-14.

[12] CONG Shuzheng, TAN Weiyan, HUANG Shouxin, et al. Statistical testing research on the methods of parameters estimation in hydrological computation. Journal of Hydraulic Engineering, 1980, (3): 1-14. (in Chinese)

[13] HWANG, C. L., YOON, K. S. Multiple attribute decision making. Berlin: Spring-Verlag, 1981.

[14] 郭靖, 郭生练, 胡安焱, 等. 基于TOPSIS法的水文模型多目标参数自动优选方法研究[J]. 水电能源科学, 2006, 24(6): 25-28.

[15] GUO Jing, GUO Shenglian, HU Anyan, et al. Study on automatic parameter optimization of hydrological model using multi- objective function and TOPSIS. Water Resources and Power, 2006, 24(6): 25-28. (in Chinese)

[16] 钱吴永, 党耀国, 熊萍萍, 等. 基于灰色关联定权的TOPSIS法及其应用[J]. 系统工程, 2009, 27(8): 124-126.

[17] QIAN Wuyong, DANG Yaoguo and XIONG Pingping. TOPSIS based on grey correlation method and its application. Systems Engineering, 2009, 27(8): 124-126. (in Chinese)

[18] DING, J., YANG, R. The determination of probability weighted moments with the incorporation of extraordinary values into sample data and their application to estimating parameters for the Pearson Type Three distribution. Journal of Hydrology, 1988, 101: 63-82.

[19] 宋德敦, 丁晶. 概率权重矩法及其在p-III分布中的应用[J]. 水利学报, 1988, (3): 1-11.

[20] SONG Dedun, DING Jing. Probability weighted moment method and its application in P-III distribution. Journal of hydraulic engineering.1988, (3): 1-11. (in Chinese)

[21] LANDWEHR, J. M., MATALAS, N. C. and WALLIS, J. R. Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resources Research, 1979, 15(5): 1055-1064.

[22] WANG, Q. J. Estimation of the GEV distribution from censored samples by method of partial probability weighted moments. Journal of Hydrology, 1990, 120: 103-114.

[23] 王文川, 邱林, 徐冬梅, 陈海涛. 工程水文学[M]. 北京: 中国水利水电出版社, 2013.

[24] WANG Wenchuan, QIU Lin, XU Dongmei and CHEN Haitao. Engineering hydrology. Beijing: China Water Power Press, 2013. (in Chinese)

[25] 宋孝玉, 马细霞. 工程水文学[M]. 郑州: 黄河水利出版社, 2009.

[26] SONG Xiaoyu, MA Xixia. Engineering hydrology. Zhengzhou: The Yellow River Water Conservancy Press, 2009. (in Chinese)

[27] 葛吉琦. 用威布尔分布进行水文频率计算的探讨[J]. 人民长江, 1990, (2): 18-25+17.

[28] GE Jiqi. Weibull distribution in hydrological frequency calculation. Yangtze River. 1990, (2): 18-25+17. (in Chinese)

分享
Top