基于熵权法的改进Fisher最优分割法在水库汛期分期中的应用
|
摘要
针对Fisher最优分割法在汛期分期中指标权重确定主观性强的问题,借助熵权法计算指标权重的客观性,提出基于熵权法的改进Fisher最优分割法。通过对三峡水库汛期分期实例计算,选取能反映洪水季节性变化规律的5个指标,根据熵权法计算各指标的权重,进而采用Fisher最优分割法进行汛期分期,最后通过气候成因分析和旬信息熵的相对平均离差对分期结果进行检验,并与基于赋均权重和主成分分析的Fisher最优分割法进行对比。结果表明该方法能尽量消除权重计算的人为干扰,汛期分期更为客观准确。
Because the Fisher optimal partition method is featured with strong subjectivity in determining index weight in flood season division, while the entropy weight method owns good objectivity,an improved Fisher optimal partition method based on entropy weight method is proposed. Taking Three Gorges Reservoir as a study example, this paper selects five indexes that can reflect the season alvariation laws of the flood to calculate the weight of each index by entropy weight method; then, divides the flood season by the Fisher optimal partition method; finally, tests the results of flood season division by means of climatecause analysis and the relative mean deviation of information entropy, and compares it with that of Fisher optimal partition method based on the equal weight and principal component analysis. The results show that the method can eliminate the human interference of weight calculation as much as possible, and the flood season division is more objective and accurate.
Because the Fisher optimal partition method is featured with strong subjectivity in determining index weight in flood season division, while the entropy weight method owns good objectivity,an improved Fisher optimal partition method based on entropy weight method is proposed. Taking Three Gorges Reservoir as a study example, this paper selects five indexes that can reflect the season alvariation laws of the flood to calculate the weight of each index by entropy weight method; then, divides the flood season by the Fisher optimal partition method; finally, tests the results of flood season division by means of climatecause analysis and the relative mean deviation of information entropy, and compares it with that of Fisher optimal partition method based on the equal weight and principal component analysis. The results show that the method can eliminate the human interference of weight calculation as much as possible, and the flood season division is more objective and accurate.
引文
[1] 丁瑞,焦晓东.基于模糊集合分析法的南水水库汛期气象水文特征分析[J].人民珠江,2017,38(5):5-8.
[2] 刘克琳,王银堂,胡四一,等.Fisher最优分割法在汛期分期中的应用[J].水利水电科技进展,2007(3):14-16.
[3] 莫崇勋,王大洋,朱新荣,等.Fisher最优分割法在澄碧河水库汛期分期中的应用[J].水力发电,2017,43(6):19-22.
[4] 朱燕燕,武鹏林.基于FAHP-Fisher的最优分割法在汛期分期中的应用[J].水电能源科学,2016(6):57-59.
[5] 唐莉,张永波,祝雪萍,等.基于PCA-Fisher最优分割法的汛期分期影响研究[J].水力发电,2018(1):13-16.
[6] 李恩宽,白乐,苏晓慧.基于熵权的乌梁素海水环境质量SPA综合评价[J].人民珠江,2018,39(6):21-24.
[7] 王家彪,廖卫红,付晓杰,等.基于熵权法的万安水库汛期分期计算[J].水利水电技术,2018,49(1):36-41.
[8] 刘攀,郭生练,肖义,等.水库分期汛限水位的优化设计研究[J].水力发电学报,2007,26(3):5-10.
[9] 张娟,张艾东,蔡治国.三峡水库汛期分期成因分析与模型计算[J].人民长江,2008,39(18):4-5.
[10] 秦智伟,戴明龙,陈炼钢,等.三峡水库汛期分期洪水特征及成因研究[J].人民长江,2018,49(22):1-6.
[2] 刘克琳,王银堂,胡四一,等.Fisher最优分割法在汛期分期中的应用[J].水利水电科技进展,2007(3):14-16.
[3] 莫崇勋,王大洋,朱新荣,等.Fisher最优分割法在澄碧河水库汛期分期中的应用[J].水力发电,2017,43(6):19-22.
[4] 朱燕燕,武鹏林.基于FAHP-Fisher的最优分割法在汛期分期中的应用[J].水电能源科学,2016(6):57-59.
[5] 唐莉,张永波,祝雪萍,等.基于PCA-Fisher最优分割法的汛期分期影响研究[J].水力发电,2018(1):13-16.
[6] 李恩宽,白乐,苏晓慧.基于熵权的乌梁素海水环境质量SPA综合评价[J].人民珠江,2018,39(6):21-24.
[7] 王家彪,廖卫红,付晓杰,等.基于熵权法的万安水库汛期分期计算[J].水利水电技术,2018,49(1):36-41.
[8] 刘攀,郭生练,肖义,等.水库分期汛限水位的优化设计研究[J].水力发电学报,2007,26(3):5-10.
[9] 张娟,张艾东,蔡治国.三峡水库汛期分期成因分析与模型计算[J].人民长江,2008,39(18):4-5.
[10] 秦智伟,戴明龙,陈炼钢,等.三峡水库汛期分期洪水特征及成因研究[J].人民长江,2018,49(22):1-6.