water Article An Integrated Method for Interval Multi-Objective Planning of a Water Resource System in the Eastern Part of Handan Meiqin Suo 1, Pengfei Wu 1 and Bin Zhou 1,2,3,* 1 College of Water Conservancy and Hydropower, Hebei University of Engineering, Handan 056021, China;
[email protected] (M.S.);
[email protected] (P.W.) 2 State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China 3 The Administrative Center for China’s Agenda 21, Beijing 100038, China * Correspondence:
[email protected]; Tel.: +86-139-0115-5205 Received: 9 May 2017; Accepted: 12 July 2017; Published: 16 July 2017 Abstract: In this study, an integrated solving method is proposed for interval multi-objective planning. The proposed method is based on fuzzy linear programming and an interactive two-step method. It cannot only provide objectively optimal values for multiple objectives at the same time, but also effectively offer a globally optimal interval solution. Meanwhile, the degree of satisfaction related to different objective functions would be obtained. Then, the integrated solving method for interval multi-objective planning is applied to a case study of planning multi-water resources joint scheduling under uncertainty in the eastern part of Handan, China. The solutions obtained are useful for decision makers in easing the contradiction between supply of multi-water resources and demand from different water users. Moreover, it can provide the optimal comprehensive benefits of economy, society, and the environment. Keywords: joint scheduling; multi-objective; satisfaction degree; uncertainty 1.