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The Research of Dynamic Variable Fuzzy Set Assessment Model in Water Quality Evaluation

Author

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  • Feng Yan
  • Ling Liu
  • You Zhang
  • Musong Chen
  • Ning Chen

Abstract

To overcome the shortcomings of the conventional variable fuzzy set assessment (VFSA) method in the dynamic water quality assessment, the functional data analysis (FDA) theory is introduced into VFSA method to develop a dynamic variable fuzzy set assessment (DVFSA) model. The procedure of DVFSA is: (1) generating continuous concentration curves through smoothing method, (2) calculating relative membership curves of indicators, (3) generating comprehensive relative membership curves, (4) making dynamic water quality assessment through calculating the ranking feature curve. DVFSA is the generalization of the conventional VFSA from discrete finite time points into continuous time domain through FDA method. DVFSA keeps the property of VFSA in fuzzy domain constructing and comprehensive classification recognizing; and absorbs the advantages of FDA in dealing with different sampling time and missing values, and representing the varying process of aquatic environment comprehensively and intuitively. Furthermore, DVFSA avoids the potential logical error by banning the least square optimization method in comprehensive relative membership generation. The dynamic water quality condition of Jiangdu hydro-junction in 2013 is assessed using DVFSA and the result shows that it belongs to classification “I” from January to April and “II” in other months. To further improve the water quality condition of Jiangdu hydro-junction, it is suggested to strengthen the environment protection in Lixiahe region and New Tongyang Canal. Copyright Springer Science+Business Media Dordrecht 2016

Suggested Citation

  • Feng Yan & Ling Liu & You Zhang & Musong Chen & Ning Chen, 2016. "The Research of Dynamic Variable Fuzzy Set Assessment Model in Water Quality Evaluation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 63-78, January.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:1:p:63-78
    DOI: 10.1007/s11269-015-1146-0
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    References listed on IDEAS

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    1. X. Wang & R. Zhao & Y. Hao, 2011. "Flood Control Operations Based on the Theory of Variable Fuzzy Sets," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 777-792, February.
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    2. Guanjie He & Junrui Chai & Yuan Qin & Zengguang Xu & Shouyi Li, 2020. "Coupled Model of Variable Fuzzy Sets and the Analytic Hierarchy Process and its Application to the Social and Environmental Impact Evaluation of Dam Breaks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(9), pages 2677-2697, July.
    3. Yucheng Liu & Chuansheng Wang & Yutong Chun & Luxin Yang & Wei Chen & Jack Ding, 2019. "A Novel Method in Surface Water Quality Assessment Based on Improved Variable Fuzzy Set Pair Analysis," IJERPH, MDPI, vol. 16(22), pages 1-24, November.
    4. Xiaoling Wang & Hongling Yu & Peng Lv & Cheng Wang & Jun Zhang & Jia Yu, 2019. "Seepage Safety Assessment of Concrete Gravity Dam Based on Matter-Element Extension Model and FDA," Energies, MDPI, vol. 12(3), pages 1-21, February.

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