IDEAS home Printed from https://ideas.repec.org/a/eee/agiwat/v133y2014icp104-111.html
   My bibliography  Save this article

An interactive inexact fuzzy bounded programming approach for agricultural water quality management

Author

Listed:
  • Zhang, Y.M.
  • Lu, H.W.
  • Nie, X.H.
  • He, L.
  • Du, P.

Abstract

An interactive inexact fuzzy bounded programming (IFBP) approach is developed through introducing the concept of fuzzy bounded intervals into an interactive fuzzy compromise programming framework. It can provide decision support for decision makers with conflicting desires of greater objective value and higher safety levels of constraints. In this model, by determining a fuzzy goal associated with different feasibility degrees from a semantic correspondence, the degrees of satisfying each objective can be calculated. Decision makers can intervene in every step of the decision process through analyzing the degrees of approaching the aspiration levels and the risks of violating the constraints. The developed method is applied to an agricultural water quality management case for optimizing planting area, manure/fertilizer application amount, and livestock husbandry size. Results indicated that an increased feasibility degree would correspond to a reduced system benefit. Generally, by analyzing risks of violating the constraints in all solution processes, decision makers who have their own aspiration levels would be able to obtain a balanced solution considering the conflict between satisfying the aspiration levels and minimizing the violation risks.

Suggested Citation

  • Zhang, Y.M. & Lu, H.W. & Nie, X.H. & He, L. & Du, P., 2014. "An interactive inexact fuzzy bounded programming approach for agricultural water quality management," Agricultural Water Management, Elsevier, vol. 133(C), pages 104-111.
  • Handle: RePEc:eee:agiwat:v:133:y:2014:i:c:p:104-111
    DOI: 10.1016/j.agwat.2013.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378377413003089
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.agwat.2013.11.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Tan, Q. & Huang, G.H. & Cai, Y.P., 2011. "Radial interval chance-constrained programming for agricultural non-point source water pollution control under uncertainty," Agricultural Water Management, Elsevier, vol. 98(10), pages 1595-1606, August.
    3. Zhang, Y.M. & Huang, G.H. & Zhang, X.D., 2009. "Inexact de Novo programming for water resources systems planning," European Journal of Operational Research, Elsevier, vol. 199(2), pages 531-541, December.
    4. Dubois, Didier & Prade, Henri, 1986. "Fuzzy sets and statistical data," European Journal of Operational Research, Elsevier, vol. 25(3), pages 345-356.
    5. Julien, Benoit, 1994. "Water quality management with imprecise information," European Journal of Operational Research, Elsevier, vol. 76(1), pages 15-27, July.
    6. Díaz, Francisco J. & O′Geen, Anthony T. & Dahlgren, Randy A., 2012. "Agricultural pollutant removal by constructed wetlands: Implications for water management and design," Agricultural Water Management, Elsevier, vol. 104(C), pages 171-183.
    7. H. Lu & G. Huang & L. He, 2012. "Simulation-Based Inexact Rough-Interval Programming for Agricultural Irrigation Management: A Case Study in the Yongxin County, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4163-4182, November.
    8. Zhang, Xiaodong & Huang, Guo H. & Nie, Xianghui, 2009. "Optimal decision schemes for agricultural water quality management planning with imprecise objective," Agricultural Water Management, Elsevier, vol. 96(12), pages 1723-1731, December.
    9. Jimenez, Mariano & Arenas, Mar & Bilbao, Amelia & Rodri'guez, M. Victoria, 2007. "Linear programming with fuzzy parameters: An interactive method resolution," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1599-1609, March.
    10. Rommelfanger, Heinrich, 1996. "Fuzzy linear programming and applications," European Journal of Operational Research, Elsevier, vol. 92(3), pages 512-527, August.
    11. Lu, Jun & Gong, Dongqin & Shen, Yena & Liu, Mei & Chen, Dingjiang, 2013. "An inversed Bayesian modeling approach for estimating nitrogen export coefficients and uncertainty assessment in an agricultural watershed in eastern China," Agricultural Water Management, Elsevier, vol. 116(C), pages 79-88.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Niu, Geng & Zheng, Yi & Han, Feng & Qin, Huapeng, 2019. "The nexus of water, ecosystems and agriculture in arid areas: A multiobjective optimization study on system efficiencies," Agricultural Water Management, Elsevier, vol. 223(C), pages 1-1.
    2. 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.
    3. Dai, C. & Cai, Y.P. & Ren, W. & Xie, Y.F. & Guo, H.C., 2016. "Identification of optimal placements of best management practices through an interval-fuzzy possibilistic programming model," Agricultural Water Management, Elsevier, vol. 165(C), pages 108-121.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Figueroa–García, Juan Carlos & Hernández, Germán & Franco, Carlos, 2022. "A review on history, trends and perspectives of fuzzy linear programming," Operations Research Perspectives, Elsevier, vol. 9(C).
    2. Niu, G. & Li, Y.P. & Huang, G.H. & Liu, J. & Fan, Y.R., 2016. "Crop planning and water resource allocation for sustainable development of an irrigation region in China under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 166(C), pages 53-69.
    3. Liu, M. & Huang, G.H. & Liao, R.F. & Li, Y.P. & Xie, Y.L., 2013. "Fuzzy two-stage non-point source pollution management model for agricultural systems—A case study for the Lake Tai Basin, China," Agricultural Water Management, Elsevier, vol. 121(C), pages 27-41.
    4. Li, Zhong & Huang, Gordon & Zhang, Yimei & Li, Yongping, 2013. "Inexact two-stage stochastic credibility constrained programming for water quality management," Resources, Conservation & Recycling, Elsevier, vol. 73(C), pages 122-132.
    5. Jyotiba Gurav & D. Regulwar, 2012. "Multi Objective Sustainable Irrigation Planning with Decision Parameters and Decision Variables Fuzzy in Nature," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(10), pages 3005-3021, August.
    6. Berna Tektaş & Hasan Hüseyin Turan & Nihat Kasap & Ferhan Çebi & Dursun Delen, 2022. "A Fuzzy Prescriptive Analytics Approach to Power Generation Capacity Planning," Energies, MDPI, vol. 15(9), pages 1-26, April.
    7. Mikhailov, L., 2004. "A fuzzy approach to deriving priorities from interval pairwise comparison judgements," European Journal of Operational Research, Elsevier, vol. 159(3), pages 687-704, December.
    8. Tien-Fu Liang & Tien-Shou Huang & Ming-Feng Yang, 2012. "Application of fuzzy mathematical programming to imprecise project management decisions," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(5), pages 1451-1470, August.
    9. Chen, Shih-Pin & Tsai, Ming-Jiun, 2011. "Time-cost trade-off analysis of project networks in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 212(2), pages 386-397, July.
    10. Sakawa, Masatoshi & Kato, Kosuke & Nishizaki, Ichiro, 2003. "An interactive fuzzy satisficing method for multiobjective stochastic linear programming problems through an expectation model," European Journal of Operational Research, Elsevier, vol. 145(3), pages 665-672, March.
    11. Luhandjula, M.K., 2006. "Fuzzy stochastic linear programming: Survey and future research directions," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1353-1367, November.
    12. Shih, Li-Hsing, 1999. "Cement transportation planning via fuzzy linear programming," International Journal of Production Economics, Elsevier, vol. 58(3), pages 277-287, January.
    13. Tien-Fu Liang, 2012. "Integrated manufacturing/distribution planning decisions with multiple imprecise goals in an uncertain environment," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(1), pages 137-153, January.
    14. Ertugrul Karsak, E. & Tolga, Ethem, 2001. "Fuzzy multi-criteria decision-making procedure for evaluating advanced manufacturing system investments," International Journal of Production Economics, Elsevier, vol. 69(1), pages 49-64, January.
    15. Patoghi, Amirhosein & Mousavi, Seyed Meysam, 2021. "A new approach for material ordering and multi-mode resource constraint project scheduling problem in a multi-site context under interval-valued fuzzy uncertainty," Technological Forecasting and Social Change, Elsevier, vol. 173(C).
    16. Jian-Jun Wang & Zongli Dai & Ai-Chih Chang & Jim Junmin Shi, 2022. "Surgical scheduling by Fuzzy model considering inpatient beds shortage under uncertain surgery durations," Annals of Operations Research, Springer, vol. 315(1), pages 463-505, August.
    17. Mohammad Mehdi Nasrabadi & Mohammad Ali Yaghoobi & Mashaallah Mashinchi, 2010. "Solution algorithms for a class of continuous linear programs with fuzzy valued objective functions," Fuzzy Information and Engineering, Springer, vol. 2(1), pages 5-26, March.
    18. Tubagus Robbi Megantara & Sudradjat Supian & Diah Chaerani, 2022. "Strategies to Reduce Ride-Hailing Fuel Consumption Caused by Pick-Up Trips: A Mathematical Model under Uncertainty," Sustainability, MDPI, vol. 14(17), pages 1-18, August.
    19. Foulds, Les R. & do Nascimento, Hugo A.D. & Calixto, Iacer C.A.C. & Hall, Bryon R. & Longo, Humberto, 2013. "A fuzzy set-based approach to origin–destination matrix estimation in urban traffic networks with imprecise data," European Journal of Operational Research, Elsevier, vol. 231(1), pages 190-201.
    20. S. Wang & G. Huang, 2012. "Identifying Optimal Water Resources Allocation Strategies through an Interactive Multi-Stage Stochastic Fuzzy Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(7), pages 2015-2038, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:agiwat:v:133:y:2014:i:c:p:104-111. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/agwat .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.