Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method
Fuzzy numbers have many applications in various mathematical models in both linear and nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be constructed in the form of matrix equations. Unfortunately, the matrix equations used to solve the problem of dual fully fuzzy n...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2023-02-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
| Subjects: | |
| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/04-IJMEMS-22-0348-8-1-60-77-2023.pdf |
| _version_ | 1797969752766808064 |
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| author | La Zakaria Wahyu Megarani Ahmad Faisol Aang Nuryaman Ulfah Muharramah |
| author_facet | La Zakaria Wahyu Megarani Ahmad Faisol Aang Nuryaman Ulfah Muharramah |
| author_sort | La Zakaria |
| collection | DOAJ |
| description | Fuzzy numbers have many applications in various mathematical models in both linear and nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be constructed in the form of matrix equations. Unfortunately, the matrix equations used to solve the problem of dual fully fuzzy nonlinear systems are still relatively few found in the publication of research results. This article attempts to solve a dual fully fuzzy nonlinear equation system involving triangular fuzzy numbers using Broyden’s method. This article provides the pseudocode algorithm and the implementation of the algorithm into the MATLAB program for the iteration process to be carried out quickly and easily. The performance of the given algorithm is the fastest in finding system solutions and provides a minimum error value. |
| first_indexed | 2024-04-11T03:07:14Z |
| format | Article |
| id | doaj.art-616dca9d434a48e885009b5455e004b0 |
| institution | Directory Open Access Journal |
| issn | 2455-7749 |
| language | English |
| last_indexed | 2024-04-11T03:07:14Z |
| publishDate | 2023-02-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-616dca9d434a48e885009b5455e004b02023-01-02T12:56:25ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492023-02-01816077https://doi.org/10.33889/IJMEMS.2023.8.1.004Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s MethodLa Zakaria0Wahyu Megarani1Ahmad Faisol2Aang Nuryaman3Ulfah Muharramah4Department of Mathematics, Universitas Lampung, Bandar Lampung, Indonesia.Department of Mathematics, Universitas Lampung, Bandar Lampung, Indonesia.Department of Mathematics, Universitas Lampung, Bandar Lampung, Indonesia.Department of Mathematics, Universitas Lampung, Bandar Lampung, Indonesia.Business Administration Department, State Polytechnic of Sriwijaya, Palembang, Indonesia.Fuzzy numbers have many applications in various mathematical models in both linear and nonlinear forms. In the form of a nonlinear system, fuzzy nonlinear equations can be constructed in the form of matrix equations. Unfortunately, the matrix equations used to solve the problem of dual fully fuzzy nonlinear systems are still relatively few found in the publication of research results. This article attempts to solve a dual fully fuzzy nonlinear equation system involving triangular fuzzy numbers using Broyden’s method. This article provides the pseudocode algorithm and the implementation of the algorithm into the MATLAB program for the iteration process to be carried out quickly and easily. The performance of the given algorithm is the fastest in finding system solutions and provides a minimum error value.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/04-IJMEMS-22-0348-8-1-60-77-2023.pdfdual fully fuzzy nonlinear systemmatrix equationsbroyden’s methodpseudocode algorithm |
| spellingShingle | La Zakaria Wahyu Megarani Ahmad Faisol Aang Nuryaman Ulfah Muharramah Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method International Journal of Mathematical, Engineering and Management Sciences dual fully fuzzy nonlinear system matrix equations broyden’s method pseudocode algorithm |
| title | Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method |
| title_full | Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method |
| title_fullStr | Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method |
| title_full_unstemmed | Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method |
| title_short | Computational Mathematics: Solving Dual Fully Fuzzy Nonlinear Matrix Equations Numerically using Broyden’s Method |
| title_sort | computational mathematics solving dual fully fuzzy nonlinear matrix equations numerically using broyden s method |
| topic | dual fully fuzzy nonlinear system matrix equations broyden’s method pseudocode algorithm |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/04-IJMEMS-22-0348-8-1-60-77-2023.pdf |
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