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Flood Control Operations Based on the Theory of Variable Fuzzy Sets

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  • X. Wang
  • R. Zhao
  • Y. Hao

Abstract

Flood control decisions are often involved with quantitative and qualitative criteria. In this paper, a decision model is presented for flood control operations based on the theory of variable fuzzy sets. Using dual comparison, two models computing relative membership grades with qualitative and quantitative criteria are established, respectively. A method integrating subjective preference and iterative weights is proposed for weight-assessment. First, an initial solution of criteria weights is obtained by using proposed fuzzy optimal iteration model. Then, according to their knowledge related to real time flood operations, operators may modify the initial weights if necessary. When the relative membership grades of alternatives belonging to all rankings are fixed by using multi-criterion variable fuzzy model proposed, the decision alternative is chosen according to the ranking characteristic value computed using a defuzzification equation. The case study of Fengman Reservoir flood operation (in China) is provided to illustrate the application of the proposed method. With the incorporation of operator’s knowledge related to flood operations, the proposed model is flexible and practical. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:3:p:777-792
    DOI: 10.1007/s11269-010-9726-5
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    1. Raju, Komaragiri Srinivasa & Pillai, C. R. S., 1999. "Multicriterion decision making in river basin planning and development," European Journal of Operational Research, Elsevier, vol. 112(2), pages 249-257, January.
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    3. Chih-Chiang Wei & Nien-Sheng Hsu, 2008. "Multireservoir Flood-Control Optimization with Neural-Based Linear Channel Level Routing Under Tidal Effects," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(11), pages 1625-1647, November.
    4. Chuntian, Cheng & Chau, K. W., 2002. "Three-person multi-objective conflict decision in reservoir flood control," European Journal of Operational Research, Elsevier, vol. 142(3), pages 625-631, November.
    5. D. Nagesh Kumar & Falguni Baliarsingh & K. Srinivasa Raju, 2010. "Optimal Reservoir Operation for Flood Control Using Folded Dynamic Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(6), pages 1045-1064, April.
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    Cited by:

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    4. Wen-chuan Wang & Dong-mei Xu & Kwok-wing Chau & Guan-jun Lei, 2014. "Assessment of River Water Quality Based on Theory of Variable Fuzzy Sets and Fuzzy Binary Comparison Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 4183-4200, September.
    5. Yan Feng & Qian Bao & Liu Chenglin & Wei Bowen & You Zhang, 2018. "Introducing Biological Indicators into CCME WQI Using Variable Fuzzy Set Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(8), pages 2901-2915, June.
    6. Gokmen Tayfur & Luca Brocca, 2015. "Fuzzy Logic for Rainfall-Runoff Modelling Considering Soil Moisture," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3519-3533, August.
    7. 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.
    8. Xin-Yu Wan & Ping-An Zhong & Emmanuel Appiah-Adjei, 2014. "Variable Sets and Fuzzy Rating Interval for Water Allocation Options Assessment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 2833-2849, August.
    9. Yong-Gun Kim & Myong-Bong Jo & Pyol Kim & Song-Nam Oh & Chung-Hyok Paek & Sung-Ryol So, 2021. "Effective Optimization-Simulation Model for Flood Control of Cascade Barrage Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(1), pages 135-157, January.
    10. 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.
    11. Xingqi Zhang & Maochuan Hu, 2014. "Effectiveness of Rainwater Harvesting in Runoff Volume Reduction in a Planned Industrial Park, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(3), pages 671-682, February.

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