Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India
The hesitant intuitionistic fuzzy optimization method optimizes multi-objective optimization problems under uncertainty and hesitation, and reflects the practical aspects of better decision-making. Hesitant intuitionistic fuzzy optimization (HIFO), a new optimization technique, has been suggested in...
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| Format: | Article |
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MDPI AG
2023-03-01
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| Series: | Environmental Sciences Proceedings |
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| Online Access: | https://www.mdpi.com/2673-4931/25/1/93 |
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| author | Sangita V. Pawar Premlal Lal Patel Ashwini B. Mirajkar |
| author_facet | Sangita V. Pawar Premlal Lal Patel Ashwini B. Mirajkar |
| author_sort | Sangita V. Pawar |
| collection | DOAJ |
| description | The hesitant intuitionistic fuzzy optimization method optimizes multi-objective optimization problems under uncertainty and hesitation, and reflects the practical aspects of better decision-making. Hesitant intuitionistic fuzzy optimization (HIFO), a new optimization technique, has been suggested in the current study to find the best cropping pattern in the Kakrapar Right Bank Main Canal (KRBMC) command area of Ukai-Kakrapar Water Resources Project in India. The HIFO multi-objective fuzzy linear programming (HIFO MOFLP) result includes three objectives: maximization of net irrigation benefits (NIB), maximization of employment generation (EG), and minimization of cost of cultivation (CC), along with the appropriate constraints set. The performance of the aforesaid model is evaluated based on irrigation intensity, degree of acceptance (<i>α<sup>r</sup></i>), and degree of rejection (<i>β<sup>r</sup></i>) for inflows corresponding to 75% exceedance probability. The irrigation intensity from the study HIFO MOFLP model has been found to be 82.05%, while NIB, EG, and CC from the proposed model are 5572.31 million Rs, 14,287.27 thousand-man days, and 3429.99 million Rs, respectively. The proposed HIFO MOFLP model has been compared with the IFO MOFLP approach for the same command area and found to give improved results in the form of the irrigation intensity of the command area and objective function values. The current study demonstrates how hesitant fuzzy membership functions and non-membership functions can be applied to deal with uncertainty and hesitation in a real-world problem. |
| first_indexed | 2024-03-11T02:29:58Z |
| format | Article |
| id | doaj.art-adefe9b0b69d4dbaaa3ad267e4348050 |
| institution | Directory Open Access Journal |
| issn | 2673-4931 |
| language | English |
| last_indexed | 2024-03-11T02:29:58Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Environmental Sciences Proceedings |
| spelling | doaj.art-adefe9b0b69d4dbaaa3ad267e43480502023-11-18T10:20:15ZengMDPI AGEnvironmental Sciences Proceedings2673-49312023-03-012519310.3390/ECWS-7-14190Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in IndiaSangita V. Pawar0Premlal Lal Patel1Ashwini B. Mirajkar2Department of Civil Engineering, Sardar Vallabhbhai National Institute of Technology, Surat 395007, IndiaDepartment of Civil Engineering, Sardar Vallabhbhai National Institute of Technology, Surat 395007, IndiaDepartment of Civil Engineering, Visvesvaraya National Institute of Technology, Nagpur 440010, IndiaThe hesitant intuitionistic fuzzy optimization method optimizes multi-objective optimization problems under uncertainty and hesitation, and reflects the practical aspects of better decision-making. Hesitant intuitionistic fuzzy optimization (HIFO), a new optimization technique, has been suggested in the current study to find the best cropping pattern in the Kakrapar Right Bank Main Canal (KRBMC) command area of Ukai-Kakrapar Water Resources Project in India. The HIFO multi-objective fuzzy linear programming (HIFO MOFLP) result includes three objectives: maximization of net irrigation benefits (NIB), maximization of employment generation (EG), and minimization of cost of cultivation (CC), along with the appropriate constraints set. The performance of the aforesaid model is evaluated based on irrigation intensity, degree of acceptance (<i>α<sup>r</sup></i>), and degree of rejection (<i>β<sup>r</sup></i>) for inflows corresponding to 75% exceedance probability. The irrigation intensity from the study HIFO MOFLP model has been found to be 82.05%, while NIB, EG, and CC from the proposed model are 5572.31 million Rs, 14,287.27 thousand-man days, and 3429.99 million Rs, respectively. The proposed HIFO MOFLP model has been compared with the IFO MOFLP approach for the same command area and found to give improved results in the form of the irrigation intensity of the command area and objective function values. The current study demonstrates how hesitant fuzzy membership functions and non-membership functions can be applied to deal with uncertainty and hesitation in a real-world problem.https://www.mdpi.com/2673-4931/25/1/93hesitation and uncertaintyhesitant intuitionistic fuzzy optimizationKakrapar right bank main canalintuitionistic fuzzy optimization |
| spellingShingle | Sangita V. Pawar Premlal Lal Patel Ashwini B. Mirajkar Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India Environmental Sciences Proceedings hesitation and uncertainty hesitant intuitionistic fuzzy optimization Kakrapar right bank main canal intuitionistic fuzzy optimization |
| title | Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India |
| title_full | Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India |
| title_fullStr | Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India |
| title_full_unstemmed | Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India |
| title_short | Hesitant Intuitionistic Fuzzy Approach in Optimal Irrigation Planning in India |
| title_sort | hesitant intuitionistic fuzzy approach in optimal irrigation planning in india |
| topic | hesitation and uncertainty hesitant intuitionistic fuzzy optimization Kakrapar right bank main canal intuitionistic fuzzy optimization |
| url | https://www.mdpi.com/2673-4931/25/1/93 |
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