Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method
Article published by Elsevier in the Journal of Computational Science Volume 63, September 2022, 101786
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| Formato: | Artículo |
| Lenguaje: | inglés |
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Elsevier
2024
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| Acceso en línea: | https://doi.org/10.1016/j.jocs.2022.101786 https://scholar.mzumbe.ac.tz/handle/123456789/621 |
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| _version_ | 1820347767705305088 |
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| author | Mollalign, Demmelash Mushi, Allen R. Guta, Berhanu |
| author_facet | Mollalign, Demmelash Mushi, Allen R. Guta, Berhanu |
| author_sort | Mollalign, Demmelash |
| collection | DSpace |
| description | Article published by Elsevier in the Journal of Computational Science Volume 63, September 2022, 101786 |
| format | Article |
| id | oai:41.59.85.69:123456789-621 |
| institution | Mzumbe University |
| language | English |
| publishDate | 2024 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oai:41.59.85.69:123456789-6212024-04-16T05:57:56Z Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method Mollalign, Demmelash Mushi, Allen R. Guta, Berhanu Multi-objective programming Multilevel programming Intuitionistic fuzzy goal programming Intuitionistic fuzzy decision set Two-phase model Article published by Elsevier in the Journal of Computational Science Volume 63, September 2022, 101786 This paper presents a two-phase intuitionistic fuzzy goal programming (two-phase IFGP) algorithm to solve Multi-Objective Multilevel Programming (MO-MLP) problems. The coefficient of each objective and constraint function is assumed to be triangular intuitionistic fuzzy parameters and the crisp MO-MLP problems are obtained using the accuracy function method. To avoid decision lock, the top levels set tolerance limits for decision variables to control the lower levels. The problem is modeled in the intuitionistic fuzzy environment using membership and non-membership functions for each objective function at all levels and decision variables controlled by the top levels. Then, we proposed an IFGP algorithm to achieve the highest degree of each membership and non-membership goal by minimizing unwanted deviational variables and generating compensatory solutions for all decision-makers at all levels. Moreover, in the proposed approach, two-phase IFGP is modeled to yield a compromise solution that satisfies both the MN-Pareto optimal solution and the Pareto optimal solution at each level. Also, verification of the proposed method is discussed with numerical examples. Private 2024-04-16T05:57:53Z 2024-04-16T05:57:53Z 2022 Article APA https://doi.org/10.1016/j.jocs.2022.101786 https://scholar.mzumbe.ac.tz/handle/123456789/621 en application/pdf Elsevier |
| spellingShingle | Multi-objective programming Multilevel programming Intuitionistic fuzzy goal programming Intuitionistic fuzzy decision set Two-phase model Mollalign, Demmelash Mushi, Allen R. Guta, Berhanu Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title | Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title_full | Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title_fullStr | Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title_full_unstemmed | Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title_short | Solving multi-objective multilevel programming problems using two-phase intuitionistic fuzzy goal programming method |
| title_sort | solving multi objective multilevel programming problems using two phase intuitionistic fuzzy goal programming method |
| topic | Multi-objective programming Multilevel programming Intuitionistic fuzzy goal programming Intuitionistic fuzzy decision set Two-phase model |
| url | https://doi.org/10.1016/j.jocs.2022.101786 https://scholar.mzumbe.ac.tz/handle/123456789/621 |
| work_keys_str_mv | AT mollaligndemmelash solvingmultiobjectivemultilevelprogrammingproblemsusingtwophaseintuitionisticfuzzygoalprogrammingmethod AT mushiallenr solvingmultiobjectivemultilevelprogrammingproblemsusingtwophaseintuitionisticfuzzygoalprogrammingmethod AT gutaberhanu solvingmultiobjectivemultilevelprogrammingproblemsusingtwophaseintuitionisticfuzzygoalprogrammingmethod |