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

Abstract

Abstract The shortage of water resources has become one of the main factors restricting the development of society, and the impact of the shortage of water resources is particularly obvious in Northwest China in recent years. This paper establishes an inexact fuzzy non-linear multi-objective programming model aiming at the maximum economic benefit and maximum water productivity, which is applied to the actual case of Minqin, Gansu in Northwest China. Improved particle swarm optimization (PSO) is introduced to solve the model, and the optimization scheme of agricultural water resources allocation in the study area is obtained under multiple uncertainties. The results show that the optimization of multi-objective model by IPSO can comprehensively adjust the economic benefits and water productivity. The upper limit of economic benefits can reach 8.84×108 ¥, and the water productivity is 6.29 ¥/m3, which improves the utilization efficiency of water resources and ensures the local economic benefits. The water resources allocation scheme obtained by the multi-objective optimization model can not only provide potential scenarios for local water resources decision-makers, but also provide a reference for the optimal allocation of agricultural water resources in similar areas.