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A new bi-level TOPSIS based neutrosophic programming technique for land allocation to medium farm holders
1School of Advanced Sciences, Department of Mathematics, Vellore Institute of Technology Chennai, Vandalore, Chennai, 600127, India.
This study introduces new bi-level programming methods for optimal crop land allocation in agriculture. These approaches help medium-sized farmers maximize profits and minimize costs amid uncertainties.
Area of Science:
- Agricultural Economics
- Operations Research
- Decision Science
Background:
- Effective farm planning and resource allocation are crucial for maximizing agricultural output and farmer income.
- Land allocation in agriculture presents complex challenges due to uncertainties in water supply, labor, fertility, and food demands.
- Optimizing crop allocation and production is vital for social and economic growth.
Purpose of the Study:
- To propose novel bi-level programming approaches for optimal land allocation for medium-sized farmers.
- To address uncertainties and unpredictable variables in agricultural land allocation problems.
- To maximize net profit and minimize expenditure in farming operations.
Main Methods:
- Development of bi-level, TOPSIS-based neutrosophic programming approaches.
- Investigation of both non-interactive and interactive approaches.
- Utilizing linear, exponential, and hyperbolic membership functions.
Main Results:
- The proposed methods effectively maximize net profit and minimize expenditure in land allocation.
- Comparison with existing methods like Torabi & Hassini, Fuzzy Optimization Technique (FOT), and Intuitionistic Fuzzy Optimization Technique (IFOT) showed superior performance.
- The novel approaches demonstrated greater effectiveness in solving complex agricultural land allocation problems.
Conclusions:
- Bi-level programming, particularly with TOPSIS-based neutrosophic methods, offers a robust solution for optimizing agricultural land allocation.
- The proposed interactive and non-interactive models provide valuable tools for medium-sized farmers facing resource uncertainties.
- These advanced techniques enhance decision-making for maximizing farm profitability and efficiency.
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