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An interval nonlinear multiobjective programming model with fuzzy-interval credibility constraint for crop monthly water allocation

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  • Zhang, Fan
  • Zhang, Chenglong
  • Yan, Zehao
  • Guo, Shanshan
  • Wang, Youzhi
  • Guo, Ping

Abstract

Nonlinear and conflicting objectives as well as complex uncertainties are commonly encountered by irrigation-water managers. To address such problems, an interval nonlinear multiobjective programming model with fuzzy-interval credibility constraint (FIC-INMP) is proposed for crop water allocation. The FIC-INMP model integrating interval programming, nonlinear multiobjective programming and fuzzy-interval credibility-constrained programming could address not only the conflicts of multiple nonlinear objectives under interval uncertainty, but also the fuzziness expressed as fuzzy-interval membership function. Moreover, an interval fuzzy weighted (IFW) method is proposed to solve developed model by integrating fuzzy weighted programming approach and interval Zimmermann fuzzy method. The FIC-INMP and IFW are applied to Yingke Irrigation District to plan crop monthly water allocation and demonstrate their applicability. By fully considering the main factors in allocation, including concerns of different decision makers, normal growth of crops, local water balance and uncertainties existing in allocation, optimal crop water-allocation schemes can be obtained via the FIC-INMP and IFW. The optimal results offer abundant schemes to decision makers by trading off benefit and risk. In addition, from the comparison between single objective and multiobjective model, the multiobjective model shows better practicality due to more reasonable water allocation in critical water demand period of crops. These results can effectively contribute to the local irrigation water management and ecological restoration.

Suggested Citation

  • Zhang, Fan & Zhang, Chenglong & Yan, Zehao & Guo, Shanshan & Wang, Youzhi & Guo, Ping, 2018. "An interval nonlinear multiobjective programming model with fuzzy-interval credibility constraint for crop monthly water allocation," Agricultural Water Management, Elsevier, vol. 209(C), pages 123-133.
    • Handle: RePEc:eee:agiwat:v:209:y:2018:i:c:p:123-133
    DOI: 10.1016/j.agwat.2018.07.026
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    References listed on IDEAS

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    1. Li, X.M. & Lu, H.W. & Li, J. & Du, P. & Xu, M. & He, L., 2015. "A modified fuzzy credibility constrained programming approach for agricultural water resources management—A case study in Urumqi, China," Agricultural Water Management, Elsevier, vol. 156(C), pages 79-89.
    2. P. Guo & G. Huang & L. He & H. Zhu, 2009. "Interval-parameter Two-stage Stochastic Semi-infinite Programming: Application to Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 1001-1023, March.
    3. Kang, Shaozhong & Gu, Binjie & Du, Taisheng & Zhang, Jianhua, 2003. "Crop coefficient and ratio of transpiration to evapotranspiration of winter wheat and maize in a semi-humid region," Agricultural Water Management, Elsevier, vol. 59(3), pages 239-254, April.
    4. Jiang, Yao & Xu, Xu & Huang, Quanzhong & Huo, Zailin & Huang, Guanhua, 2016. "Optimizing regional irrigation water use by integrating a two-level optimization model and an agro-hydrological model," Agricultural Water Management, Elsevier, vol. 178(C), pages 76-88.
    5. Dong Liu & Wenting Liu & Qiang Fu & Yongjia Zhang & Tianxiao Li & Khan M. Imran & Faiz M. Abrar, 2017. "Two-Stage Multi-Water Sources Allocation Model in Regional Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(11), pages 3607-3625, September.
    6. Jiang, Xuelian & Kang, Shaozhong & Tong, Ling & Li, Fusheng & Li, Donghao & Ding, Risheng & Qiu, Rangjian, 2014. "Crop coefficient and evapotranspiration of grain maize modified by planting density in an arid region of northwest China," Agricultural Water Management, Elsevier, vol. 142(C), pages 135-143.
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    9. Yue, Qiong & Zhang, Fan & Zhang, Chenglong & Zhu, Hua & Tang, Yikuan & Guo, Ping, 2020. "A full fuzzy-interval credibility-constrained nonlinear programming approach for irrigation water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 230(C).
    10. Gong, Xinghui & Zhang, Hongbo & Ren, Chongfeng & Sun, Dongyong & Yang, Jiantao, 2020. "Optimization allocation of irrigation water resources based on crop water requirement under considering effective precipitation and uncertainty," Agricultural Water Management, Elsevier, vol. 239(C).
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    12. Zhang, Fan & Guo, Shanshan & Liu, Xiao & Wang, Youzhi & Engel, Bernard A. & Guo, Ping, 2020. "Towards sustainable water management in an arid agricultural region: A multi-level multi-objective stochastic approach," Agricultural Systems, Elsevier, vol. 182(C).

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