Application of Fractal Fuzzy Set Pair Analysis in Flood Classification

Author:

Xie Yun Xia1,Zeng Shang Chun2,Yuan Yu Quan1,Hu Yan Fei1

Affiliation:

1. Sichuan University of Science and Engineering

2. Southwest University for Nationalities

Abstract

The mathematic theories of traditional flood classification methods are complicated and difficult to calculate. And it is difficult to determine the weights of evaluation index objectively. In this paper the idea of fractal dimension which reflects the target complexity as an index weight is put forward. At the same time paying attention to the fuzzy character of evaluation standard boundary value, the new flood classification method which based on fractal fuzzy set pair analysis is suggested. The suggested method is used in flood classification of the Tuwei River basin (a sub-basin of the Yellow River). The results show that the suggested method is objective, simple and effect, the result of classification is feasible.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference7 articles.

1. Zhu Bing, Wang Hongfang, Wang Wensheng(2007)Journal of Sichuan University (Engineering Science Edition) 39(3): 29~33.

2. Ma Yinwu, Zhou Xiaoyang, Shang Jincheng(1997) Journal of Hydraulic Engineering, 28 ( 4): 1- 8, 25.

3. Lu Hongjun, Chen Yinchuan. The gray clustering method of the evaluation of flood security[C] . Proceeding s of Internationa l Symposium on Floods and Droughts Nanjing: Hohai University Press, 1999, 72-77.

4. Jin Juliang, Wang Zongzhi, Ding Jing. Flood classification model based on projection pursuit [C]. Xi, Gu & Seiler( eds) . Research Basins and Hydrological Planning. A. A. BALKEMA PUBLISH ERS, 2004. 177- 179.

5. Wang Wensheng, Jin Juliang, Ding Jing, et al. A new approach to water resources system assessment―set pair analysis method[J]. Sci China Ser E-Tech Sci, 2009, 39(9): 1529-1534.

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