Jacobi methods in solving fuzzy linear systems
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
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Universiti Malaysia Perlis (UniMAP)
2010
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my.unimap-102102010-11-15T04:43:19Z Jacobi methods in solving fuzzy linear systems Nurhakimah, Ab. Rahman Mohd Lazim, Abdullah Ilyani, Abdullah hamikahrun@yahoo.com lazim_m@umt.edu.my ilyani@umt.edu.my Jacobi method Refinement of Jacobi method Refinement of Jacobi over Relaxation method Fuzzy linear systems Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. Jacobi is one of the iterative methods in solving fuzzy linear systems, but its rate of convergence is low. Therefore two iterative methods are proposed. They are Refinement of Jacobi method and Refinement of Jacobi over Relaxation method. A numerical example is given in order to show how of both methods solve fuzzy linear systems. Then a simple comparison is given to show the efficiency of the proposed methods with Jacobi method. By numerical results, both methods are valid in solving fuzzy linear systems. At the end, the proposed methods have smaller error, shorter number of iterations and rate of convergence is higher. Therefore, Refinement of Jacobi over Relaxation method is better in solving fuzzy linear systems. On the other hand, Refinement of Jacobi method is better compared to Jacobi method to solve fuzzy linear systems. 2010-11-15T04:43:19Z 2010-11-15T04:43:19Z 2010-06-02 Working Paper Vol.1(7), p.60-65 http://hdl.handle.net/123456789/10210 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan |
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Malaysia |
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Universiti Malaysia Perlis |
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http://dspace.unimap.edu.my/ |
| language |
English |
| topic |
Jacobi method Refinement of Jacobi method Refinement of Jacobi over Relaxation method Fuzzy linear systems Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| spellingShingle |
Jacobi method Refinement of Jacobi method Refinement of Jacobi over Relaxation method Fuzzy linear systems Regional Conference on Applied and Engineering Mathematics (RCAEM) Nurhakimah, Ab. Rahman Mohd Lazim, Abdullah Ilyani, Abdullah Jacobi methods in solving fuzzy linear systems |
| description |
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| author2 |
hamikahrun@yahoo.com |
| author_facet |
hamikahrun@yahoo.com Nurhakimah, Ab. Rahman Mohd Lazim, Abdullah Ilyani, Abdullah |
| format |
Working Paper |
| author |
Nurhakimah, Ab. Rahman Mohd Lazim, Abdullah Ilyani, Abdullah |
| author_sort |
Nurhakimah, Ab. Rahman |
| title |
Jacobi methods in solving fuzzy linear systems |
| title_short |
Jacobi methods in solving fuzzy linear systems |
| title_full |
Jacobi methods in solving fuzzy linear systems |
| title_fullStr |
Jacobi methods in solving fuzzy linear systems |
| title_full_unstemmed |
Jacobi methods in solving fuzzy linear systems |
| title_sort |
jacobi methods in solving fuzzy linear systems |
| publisher |
Universiti Malaysia Perlis (UniMAP) |
| publishDate |
2010 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/10210 |
| _version_ |
1643789772638912512 |
| score |
13.214268 |