A robust interval-based minimax-regret analysis approach for the identification of optimal water-resources-allocation strategies under uncertainty

作者：Li Y P^*; Huang G H; Nie S L

来源：Resources, Conservation and Recycling, 2009, 54(2): 86-96.

DOI：10.1016/j.resconrec.2009.06.011

• Decision making
• Fuzzy sets
• Interval-based
• Minimax regret
• Planning
• Robust programming
• Uncertainty
• Water resources

In this study, a robust interval-based minimax-regret analysis (RIMA) method is developed and applied to the identification of optimal water-resources-allocation strategies under uncertainty. The developed RIMA approach can address uncertainties with multiple presentations. Moreover. it can be used for analyzing all possible scenarios associated with different system costs/benefits and risk levels without making assumptions on probabilistic distributions for random variables. In its solution process, an interval-element cost/benefit matrix can be transformed into an interval-element regret matrix, such that the decision makers can identify desired strategies based on inexact minimax regret (IMMR) criterion. Moreover, the fuzzy decision space is delimited into a more robust one through dimensional enlargement of the original fuzzy constraints. The developed method is applied to a case study of planning water resources allocation under uncertainty. The results indicate that reasonable solutions have been generated. They can help decision makers identify desired strategies for water-resources allocation with a compromise between maximized system benefit and minimized system-failure risk.

• 出版日期2009-12
• 单位北京工业大学; 北京大学