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针对目前洪水分类方法复杂、难以实施和在分类中难以客观确定分类指标权重的问题,基于集对分析原理提出了分形模糊集对分析方法,以反映指标复杂程度的分维来刻画指标权重,同时考虑分类标准边界的模糊性,并将该方法应用于黄河支流秃尾河流域的洪水分类中。与其他分类方法的比较结果表明,分形模糊集对分析方法客观、精确、有效,分类结果符合实际情况。
Aiming at the problem that the current flood classification method is complex, difficult to implement and it is difficult to objectively determine the weight of classification index in the classification, a fractal fuzzy set pair analysis method is proposed based on the set pair analysis principle to describe the index weight in terms of the fractal dimension that reflects the complexity of the index. Considering the fuzziness of the classification criteria boundary, this method is applied to the flood classification of Tuwei river basin which is the tributary of the Yellow River. Compared with other classification methods, the results show that the fractal fuzzy set pair analysis method is objective, accurate and effective, and the classification result accords with the actual situation.