An improved interval multi-objective programming model for irrigation water allocation by considering energy consumption under multiple uncertainties.

• Energy consumption is introduced in the optimization model. • Eliminate the negative influence caused by weight distribution. • Optimal planting schemes were obtained. In order to multi objectives and uncertainties in the optimization allocation of irrigation water resources, this paper developed an improved interval multi-objectives programming method. The proposed model was then applied to a case study in Jinghuiqu irrigation district, Shaanxi Province, China. Maximum economic benefit and minimum energy consumption are regarded as planning objectives. A series of planting structure optimal schemes were obtained under different representative hydrological years. From the result, shortage of water resources has a negative effect on the development of Jinghuiqu irrigation district. Moreover, the remaining water resources prefer vegetable to wheat after meeting the minimum demand of the developed model, which characterized with high economic benefit and lower energy consumption. Moreover, due to the introduction of effective precipitation, a lot of irrigation water resources have been saved, such as 47.14% of total water consumption was saved when P = 25%. Furthermore, the desired optimal schemes can be obtained by the decision-makers based on the results of the developed model. [ABSTRACT FROM AUTHOR]