Intuitionistic fuzzy optimization approach in optimal irrigation planning of Ukai-Kakrapar irrigation project, India

ABSTRACT

This article addresses the formulation of the Intuitionistic Multiobjective fuzzy linear programming (IFO MOFLP) model for optimal allocation of crops in the command area of the Ukai-Kakrapar Irrigation Project, India. Initially, the crisp linear programming (LP) model is applied to acquire the optimal results of three conflicting objectives, namely, maximization of net irrigation benefits (NIBs), minimization of cost of cultivation (CC) and maximization of revenue generation from industrial and municipal supplies (MI). Subsequently, the LP solutions were used to develop the IFO MOFLP, IFO MOFLP with a hesitation index and two-phase IFO MOFLP (TPIFO MOFLP) models for the complete command area. The performance of the aforesaid models is assessed in terms of irrigation intensity, degree of acceptance (α), rejection (β) and hesitation index (π) for inflows at 75% probability of exceedance. The irrigation intensity from the proposed TPIFO MOFLP model has been found to be 101.28%, while NIB, CC and MI from the proposed model are 10,575.38, 5438.42 and 2638.20 million Rs, respectively, with α = 0.64, β = 0.18 and π = 0.18, respectively. The proposed TPIFO MOFLP model has been compared better with MOFLP as the former gives additional uncertainty controlling parameters like α, β and π, which would help the planner to take better decisions for real-world problems.

KEYWORDS:

• Intuitionistic fuzzy optimization
• multiobjective fuzzy linear programming
• degree of acceptance
• degree of rejection
• hesitation index

Data Availability Statement

All the data, models or code that support the findings of the current study are available with corresponding author. The data can be shared on public portal only, after getting the approval from data providing agency.

Acknowledgments

The authors are thankful to the Centre of Excellence (CoE) on Water Resources and Flood Management, established under TEQIP II grant of MHRD, Government of India, for providing the necessary computational facility for making the analysis of present investigation. The authors would also like to thank the Surat Irrigation Circle (SIC), Kakrapar Irrigation Division, Surat, Gujarat, India, for providing the necessary data for analysis in the present study.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Notations

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