An interval joint-probabilistic stochastic flexible programming method for planning municipal-scale energy-water nexus system under uncertainty

•An interval joint-probabilistic stochastic flexible programming method is proposed.•The method is applied to the energy-water nexus system of Zhengzhou City, China.•Various satisfaction degrees and multiple risk-interaction scenarios are examined.•Tradeoffs among system cost, water resources and electricity demand are analyzed.•The added proportion for renewable energy-based power reaches to 0.86%.