A Multistage Scenario-Based Inexact Fuzzy-Stochastic Chance-Constrained Programming for Water Resources Management under Uncertainty

In this study, a multistage scenario-based inexact fuzzy-stochastic chance-constrained programming (MSIFSCCP) is proposed for water resources management under uncertainty. The developed a hybrid inexact optimization approach integrates multistage scenario-based interval-stochastic programming (MSISP), chance-constrained programming (CCP) and fuzzy-stochastic linear programming (FSLP) within a general optimization framework. It can directly incorporated and reflect uncertainties presented as both interval numbers and probability distributions. Using semi-infinite analysis can be incorporated into the modeling framework to deal with infinite $\alpha$-cuts to the membership functions of fuzzy parameters. This model could be used for water authorities and thus it provides useful decision under various social environmental system conditions.