Relevance of Intuitionistic Fuzzy Optimization Approach in Planning of a Multi–Objective Water Resource System

Intuitionistic Fuzzy Optimization (IFO) approach is one of the scientific approaches to the planning of multi–purpose water resource systems. The water resources reservoirs invariably need to meet the objectives, namely, maximization of net irrigation benefits (NIB), maximization of employment (EG), minimization of cultivation cost (CC), and maximization of revenue generation on account of industrial and municipal supplies (MI). In the current study, Intuitionistic Fuzzy Optimization Multi–objective fuzzy linear programming (IFO MOFLP) model and its variants are developed for solving the aforesaid four conflicting objectives with relevant constraints of the system. The performance of the recommended IFO MOFLP model is compared with the MOFLP model (Average operator Case–I) developed by Mirajkar and Patel (J Water Resour Plan Manag 142(11):1–16, 2016) with reference to uncertainty parameters like degree of acceptance (α), rejection (β), and hesitation index (π) and values of objective functions. The sensitivity of the uncertainty parameters is also quantified with reference to the scaling factor of the IFO MOFLP approach. The significance of the proposed model has been highlighted by comparing the simulated cropping pattern and objective functions of the model with the actual cropping pattern used in the command area for the same inflow condition in the reservoir. The suggested model with new parameters like α, β, and π, would assist decision– makers in applying the same to real–world problems with greater certainty.