Interval Double-sided Fuzzy Chance-constrained Optimization Method For Water Allocation

In recent years,due to the growth of population and rapid economic development,the human water consumption has presents an upward tendency.However,the distribution of water resources in China have obvious differences in time and space,rapid development of industrialization as well as the extensive agricultural reclamation have caused severe water shortage.In order to meet human needs and maintain social-economic stability,rational and effective planning water resources has become a major problem.Besides,the river water resources management systemic is a complicated systematic due to including many complex variables and factors.The relationship between the system components and variables involves uncertainties.Thus,the application of traditional methods is limited in water resources management system.Therefore,the study proposed an interval double-sided fuzzy chance-constrained programming(IDFCP)approach through incorporating interval parameter programming,double-sided fuzzy mathematical programming,and chance-constrained programming into a general framework.The IDFCP is then applied to water resources allocation on middle and upper reaches of Fen River Basin that is associated with multiuser,multiregion,and multisource features.IDFCP can effectively deal with uncertainties expressed as intervals,probability distributions,and fuzzy sets.IDFCP can also examine the risk of violating system constraints.Interval solutions of the compromise decision alternatives are generated under different scenarios in association with different utilization ratio of reclaimed water,risk levels of violating constraints(i.e.,p levels),fuzzy membership degrees(i.e.,a-cut levels)and credible degrees(i.e.,minimum and maximum).Including that the higher utilization ratio of reclaimed water and higher risk of violating the water-availability constraint corresponds to a higher allocated water level and a higher system benefit;under the maximum credibility,the amount of water allocation and system benefit would increase with the a-cut levels;conversely,they would decline under the minimum credibility with the a-cut levels;(iii)the amount of water allocation and system benefit under the minimum credibility are higher than those under the maximum credibility.The results are helpful for decision makers to identify desirable strategies under various environmental and system-credibility constraints in more profitable and sustainable way.