An inexact fractional programming model for irrigation water resources optimal allocation under multiple uncertainties

Abstract

In reality, severe water shortage crisis has made bad impact on the sustainable development of a region. In addition, uncertainties are inevitable in the irrigation system. Therefore, a fully fuzzy fractional programming model for optimization allocation of irrigation water resources, which aimed at not only irrigation water optimization but also improving water use efficiency. And then the developed model applied to a case study in Minqin County, Gansu Province, China, which selected maximum economic benefit of per unit water resources as planning objective. Moreover, surface and underground water are main water sources for irrigation. Thus, conjunctive use of surface and underground water was taken under consideration in this study. By solving the developed model, a series of optimal crop area and planting schemes, which were under different α -cut levels, were offered to the decision makers. The obtained results could be helpful for decision makers to make decision on the optimal use of irrigation water resources under multiple uncertainties.

An improved fuzzy multi-objective nonlinear programming model integrate PSO for water resources optimization allocation under uncertainties

“…Moreover, due to the complexity of the irrigation system, many parameters ar e characterized by uncertainty, such as fuzzy, random, etc (Ren et al 2019a). Therefore, this study developed an inexact fuzzy non-linear multi-objective model for dealing with the above problems.…”

“…However, there is a growing demand for water resources with the development of society (Ren et al 2019a;Zhang et al 2016). According to the World Water Development Report published in 2020, the world will face a 40% shortage of water resources by 2030 (Li 2021b;Zhang et al 2020).…”

“…Fuzzy nonlinear multi-objective programming is introduced to solve the developed optimal configuration model because of the uncertainty of the parameter in this paper. Fuzzy sets have the ability to deal with fuzzy parameters, and transforms the uncertainty model into deterministic model by different α-cut (Huang et al 1993;Ren et al 2019a).…”

The Allocation of Water Resources in the Midstream of Heihe River for the “97 Water Diversion Scheme” and the “Three Red Lines”

“…About 90% of freshwater resources in northwest China are used for agricultural irrigation, characterized by low precipitation and high evaporation. In contrast, the average utilization coefficient of irrigation water is about 0.5 [ 21 , 22 , 23 , 24 ]. This utilization of agricultural water resources is insufficient, and the water supply cannot fully meet the demand.…”

“…This utilization of agricultural water resources is insufficient, and the water supply cannot fully meet the demand. Thus the gap between water supply and demand has become a significant impediment to economic development, especially for areas facing severe water shortages [ 6 , 21 , 25 ]. Water allocation is one of the most effective water management tools for dealing with this conflict.…”