A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem
Article published by Elsevier in the Journal of Information Sciences Volume 625, May 2023, Pages 457-475
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Elsevier
2024
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| Acesso em linha: | https://doi.org/10.1016/j.ins.2023.01.044 https://scholar.mzumbe.ac.tz/handle/123456789/624 |
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| author | Moges, Demmelash Mollalign Mushi, Allen R. Wordofa, Berhanu Guta |
| author_facet | Moges, Demmelash Mollalign Mushi, Allen R. Wordofa, Berhanu Guta |
| author_sort | Moges, Demmelash Mollalign |
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| description | Article published by Elsevier in the Journal of Information Sciences Volume 625, May 2023, Pages 457-475 |
| format | Article |
| id | oai:41.59.85.69:123456789-624 |
| institution | Mzumbe University |
| language | English |
| publishDate | 2024 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:41.59.85.69:123456789-6242024-04-16T06:02:45Z A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem Moges, Demmelash Mollalign Mushi, Allen R. Wordofa, Berhanu Guta Multi-objective linear fractional optimization Two-phase model Intuitionistic fuzzy goal programming Intuitionistic fuzzy non-dominant solution Pareto-optimal solution Article published by Elsevier in the Journal of Information Sciences Volume 625, May 2023, Pages 457-475 This paper presents a new method for solving an intuitionistic fuzzy multi-objective linear fractional optimization (IFMOLFO) problem with crisp and intuitionistic fuzzy constraints. Here, all uncertain parameters are represented as triangular intuitionistic fuzzy numbers. We used an accuracy ranking function and variable transformation in the proposed method to convert an IFMOLFO problem into a crisp multi-objective linear optimization problem. Then, we formulated the first phase of the weighted intuitionistic fuzzy goal programming (WIFGP) model to obtain an intuitionistic fuzzy non-dominant (IFND) solution for the IFMOLFO problem. Several strategies for obtaining an IFND solution to the IFMOLFO problem have been proposed in the literature. However, in addition to constructing the phase-I WIFGP model, this study shows that the IFND solution may not be Pareto-optimal when some of the under-deviation variables are zero. As a result, the second phase of the WIFGP model is applied to address this issue. The benefits of both models are merged to provide a novel method, unlike any other method in the literature, for producing optimal solutions that satisfy both IFND and Pareto-optimal requirements. The suggested algorithm’s efficiency and reliability are demonstrated by addressing a real-life case study of an agricultural production planning problem and followed by solving a numerical example from literature. Private 2024-04-16T06:02:43Z 2024-04-16T06:02:43Z 2023 Article APA https://doi.org/10.1016/j.ins.2023.01.044 https://scholar.mzumbe.ac.tz/handle/123456789/624 en application/pdf Elsevier |
| spellingShingle | Multi-objective linear fractional optimization Two-phase model Intuitionistic fuzzy goal programming Intuitionistic fuzzy non-dominant solution Pareto-optimal solution Moges, Demmelash Mollalign Mushi, Allen R. Wordofa, Berhanu Guta A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title | A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title_full | A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title_fullStr | A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title_full_unstemmed | A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title_short | A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem |
| title_sort | new method for intuitionistic fuzzy multi objective linear fractional optimization problem and its application in agricultural land allocation problem |
| topic | Multi-objective linear fractional optimization Two-phase model Intuitionistic fuzzy goal programming Intuitionistic fuzzy non-dominant solution Pareto-optimal solution |
| url | https://doi.org/10.1016/j.ins.2023.01.044 https://scholar.mzumbe.ac.tz/handle/123456789/624 |
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