Abstract:
Decisions relating to most irrigation-planning problems need to be made in the face of
hydrologic uncertainties, which make the irrigation-planning problem more complex. The
uncertainties can be tackled by formulating the problem as Fuzzy Linear Programming
(FLP). In the present study, Single Objective Fuzzy Linear Programming (SOFLP)
irrigation planning model was formulated for deriving the optimal cropping pattern plan
with the objective of minimization of cost of cultivation and maximization of net benefits
for the case study of Jayakwadi Project Stage-I in Godavari River sub-basin in
Maharashtra State, India. The objective function coefficients, technological coefficients,
and stipulations/resources under consideration were taken as triangular fuzzy numbers.
The interactive approach was used to solve SOFLP model by involving the Decision
Maker (DM) in all phases of decision-making process. The SOFLP model gave better
results at highest degree of the membership value by keeping balance between feasibility
degree of constraints and satisfaction degree of objectives. The minimized cost of
cultivation and maximized net benefits for irrigation planning for the SOFLP model
proposed, was found at greatest membership degree of 0.406 and 0.331, respectively, with
the consideration of balance between the feasibility degree of constraints and satisfaction
degree of goal. The DM can be involved in all phases of decision process, which is very
essential in real world problems of irrigation planning where the data/information is
vague or uncertain.
Keywords: Decision maker, Single objective fuzzy linear programming, Uncertainty
