Abstract
A Multiobjective Intuitionistic Fuzzy Linear Programming model is developed to get an optimal cropping pattern in the command area of the Ukai-Kakrapar Irrigation project in Gujarat, India. Four conflicting 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) were optimized for their crisp linear programming (LP) solutions. Intuitionistic Fuzzy Optimization Multi-objective fuzzy linear programming (IFO MOFLP), IFO MOFLP with hesitation index, and two-phase IFO MOFLP models were developed from their LP solutions. The TPIFO MOFLP model has been found to perform better than other variant of IFO MOFLP models and the MOFLP model (Average operator Case-I) developed by Mirajkar and Patel in J Water Resour Plan Manag 142(11):1–16, 2016 for the same command area with reference to the uncertainty parameters like degree of acceptance (α), rejection (β), and hesitation index (π) for 75% dependable inflow condition. The recommended TPIFO MOFLP model also gives higher irrigation intensity (112.19%) than Average Operator Case-I (104.60%) for the whole command area. The implementation of TPIFO MOFLP model in the command area is likely to give the values of NIB, EG, CC, and MI as Rs 10,836.19 million, 34,980.4 thousand workdays, Rs 5,672.23 million, and Rs 2,314.03 million, respectively, with α = 0.68, β = 0.19, and π = 0.13. The suggested model with new parameters like α, β, and, π, would assist the decision makers to apply the same on real world problems with greater certainty.
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The corresponding author has access to all the data, models, or algorithms used in current investigation. The data used can be released to the public platform only after getting permissions from the relevant data providing agencies.
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Acknowledgements
The Centre of Excellence (CoE) on Water Resources and Flood Management, established under the TEQIP II grant of the Ministry of Human Resource Development, Government of India, is gratefully acknowledged by the authors for providing the necessary computational facility in analyzing the data of current investigation. The Surat Irrigation Circle (SIC), Kakrapar Irrigation Division, Surat, Gujarat, India, are also thankfully acknowledged by the authors for supplying the data required for analysis in the current work.
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Conceptualization- Sangita V. Pawar, Prem Lal Patel, Ashwini B. Mirajkar; Data curation- Ashwini B. Mirajkar, Prem Lal Patel; Formal analysis- Sangita V. Pawar and Ashwini B. Mirajkar; Project administration- Sangita V. Pawar, Prem Lal Patel, Ashwini B. Mirajkar; Software- Sangita V. Pawar and Ashwini B. Mirajkar; Supervision and Validation- Sangita V. Pawar, Prem Lal. Patel, Ashwini B. Mirajkar; Writing-original draft- Sangita V. Pawar, Writing-review and editing- Sangita V. Pawar, Prem Lal Patel, Ashwini B. Mirajkar.
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Pawar, S., Patel, P. & Mirajkar, A.B. Multiobjective Intuitionistic Fuzzy Optimization Approach in Optimal Irrigation Planning and Operation of Reservoir. Water Resour Manage 37, 1033–1053 (2023). https://doi.org/10.1007/s11269-022-03406-8
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DOI: https://doi.org/10.1007/s11269-022-03406-8