The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃
Link to publisher's homepage at https://amci.unimap.edu.my/
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2023
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my.unimap-776872023-01-24T12:37:26Z The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ W.S., W. Daud N., Ahmad G., Malkawi K.A.A., Aziz M.F.I.M., Idris W.S., W. Daud wsuhana@unimap.edu.my Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600, Arau, Perlis School of Quantitative Sciences, Universiti Utara Malaysia, Kedah, Malaysia Higher Colleges of Technology, Abu Dhabi AlAin Men’s College, 17155, United Arab Emirates Department of Mathematical Sciences and Statistics, Universiti Teknologi Mara Cawangan Perlis Kampus Arau, 02600, Arau, Perlis Control system engineering Fully fuzzy matrix equation Fully fuzzy linear system Pseudoinverse method Link to publisher's homepage at https://amci.unimap.edu.my/ A fully fuzzy matrix equation of ÃX̃B̃ = C̃ has its own important in the application of control system engineering particularly in the situation of uncertainty. In this study, the equation is solved where the triangular fuzzy numbers be the variables of the equation. The algorithm that is used in the solution is consists of the conversion for the fully fuzzy matrix equation to a fully fuzzy linear system by utilizing the Kronecker and Vec-operator. Subsequently, the final solution is obtained by using the pseudoinverse method. A numerical example and the verification of the solution obtained are presented to demonstrate the contribution of this study. 2023-01-24T12:37:26Z 2023-01-24T12:37:26Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 35 – 44 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77687 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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English |
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Control system engineering Fully fuzzy matrix equation Fully fuzzy linear system Pseudoinverse method |
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Control system engineering Fully fuzzy matrix equation Fully fuzzy linear system Pseudoinverse method W.S., W. Daud N., Ahmad G., Malkawi K.A.A., Aziz M.F.I.M., Idris W.S., W. Daud The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| description |
Link to publisher's homepage at https://amci.unimap.edu.my/ |
| author2 |
wsuhana@unimap.edu.my |
| author_facet |
wsuhana@unimap.edu.my W.S., W. Daud N., Ahmad G., Malkawi K.A.A., Aziz M.F.I.M., Idris W.S., W. Daud |
| format |
Article |
| author |
W.S., W. Daud N., Ahmad G., Malkawi K.A.A., Aziz M.F.I.M., Idris W.S., W. Daud |
| author_sort |
W.S., W. Daud |
| title |
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| title_short |
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| title_full |
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| title_fullStr |
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| title_full_unstemmed |
The approximate solution for a triangular fully fuzzy matrix equation ÃX̃B̃ = C̃ |
| title_sort |
approximate solution for a triangular fully fuzzy matrix equation ãx̃b̃ = c̃ |
| publisher |
Institute of Engineering Mathematics, Universiti Malaysia Perlis |
| publishDate |
2023 |
| url |
http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77687 |
| _version_ |
1772813096891449344 |