Abstract
This research introduces a new Robust Interval Type-2 Fuzzy Set Linear Programming (R-IT2FSLP) model to manage irrigation
water resources. This method improves upon previous interval fuzzy bound models by allowing uncertainties presented as
multiple fuzzy boundaries. It creates additional degrees of freedom and enable direct modeling of uncertainties within an
optimization framework. It more explicitly reflects the system’s uncertainties under the fuzzy membership function. The more of
R-IT2FSLP method improves upon previous solution by embedding a Robust Two-Step algorithm (RTSM), which guarantee the
feasibility of solutions. Compared with formal optimal methods of water systems, the solution of this optimal methodology is to
see how applicable it is to irrigation water systems under uncertainty. In case study of this paper, it is clear that the R-IT2FSLP
model can provide improved results to support Decision Makers (DMs). It solves problems of fresh water scarcity in irrigation
systems.