Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods
Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and...
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2025-10-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/64-IJMEMS-24-0720-10-5-1351-1364-2025.pdf |
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| author | Aang Nuryaman Fatimatuzzahra Rafiq Arssy Arifa La Zakaria Muhammad Ahsar Karim |
| author_facet | Aang Nuryaman Fatimatuzzahra Rafiq Arssy Arifa La Zakaria Muhammad Ahsar Karim |
| author_sort | Aang Nuryaman |
| collection | DOAJ |
| description | Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and trapezoidal fuzzy numbers using a numerical approach, especially meta-heuristic methods. We consider the equations system in crisp equations form as an optimization problem, and then its problems are solved. Here we compare the performance of four meta-heuristic methods, i.e., genetic algorithm (GA), chaos optimization algorithm (COA), particle swarm optimization (PSO), and grey wolf optimizer (GWO), to solve some cases in our problems. The results obtained show that PSO gives performance that is better than of other methods. Furthermore, the type of initial population number in GA affects how close the numerical solutions are to the exact solution. |
| format | Article |
| id | doaj-art-03e821b1902741b9a200568290c5db47 |
| institution | Kabale University |
| issn | 2455-7749 |
| language | English |
| publishDate | 2025-10-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj-art-03e821b1902741b9a200568290c5db472025-08-20T03:25:57ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492025-10-0110513511364https://doi.org/10.33889/IJMEMS.2025.10.5.064Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic MethodsAang Nuryaman0Fatimatuzzahra1Rafiq Arssy Arifa2La Zakaria3Muhammad Ahsar Karim4Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Bandar Lampung, Indonesia. Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Bandar Lampung, Indonesia. Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Bandar Lampung, Indonesia. Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Bandar Lampung, Indonesia. Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Bandar Lampung, Indonesia. Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and trapezoidal fuzzy numbers using a numerical approach, especially meta-heuristic methods. We consider the equations system in crisp equations form as an optimization problem, and then its problems are solved. Here we compare the performance of four meta-heuristic methods, i.e., genetic algorithm (GA), chaos optimization algorithm (COA), particle swarm optimization (PSO), and grey wolf optimizer (GWO), to solve some cases in our problems. The results obtained show that PSO gives performance that is better than of other methods. Furthermore, the type of initial population number in GA affects how close the numerical solutions are to the exact solution.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/64-IJMEMS-24-0720-10-5-1351-1364-2025.pdffuzzy numbersdual fully fuzzy nonlinear equation systemsoptimization problemmeta heuristic method |
| spellingShingle | Aang Nuryaman Fatimatuzzahra Rafiq Arssy Arifa La Zakaria Muhammad Ahsar Karim Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods International Journal of Mathematical, Engineering and Management Sciences fuzzy numbers dual fully fuzzy nonlinear equation systems optimization problem meta heuristic method |
| title | Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods |
| title_full | Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods |
| title_fullStr | Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods |
| title_full_unstemmed | Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods |
| title_short | Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods |
| title_sort | numerical solution of dual fully fuzzy equations system using some meta heuristic methods |
| topic | fuzzy numbers dual fully fuzzy nonlinear equation systems optimization problem meta heuristic method |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/64-IJMEMS-24-0720-10-5-1351-1364-2025.pdf |
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