Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory
This study provides solutions to a LR-fuzzy linear system (LR-FLS) with trapezoidal fuzzy number using matrix theory. The components of the LR-FLS are represented in block matrices and vectors to produce an equivalent linear system. Then, the solution can be obtained using any classical linear syste...
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| Format: | Conference or Workshop Item |
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2015
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| _version_ | 1825804579758931968 |
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| author | Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda |
| author_facet | Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda |
| author_sort | Ahmad, Nazihah |
| collection | UUM |
| description | This study provides solutions to a LR-fuzzy linear system (LR-FLS) with trapezoidal fuzzy number using matrix theory. The components of the LR-FLS are represented in block matrices and vectors to produce an equivalent linear system. Then, the solution can be obtained using any classical linear system, such as an inversion matrix. In this method, fuzzy operations are not required and the solution obtained is either fuzzy or non-fuzzy exact solution. Finally, several examples are given to illustrate the ability of the proposed method. |
| first_indexed | 2024-07-04T06:17:51Z |
| format | Conference or Workshop Item |
| id | uum-21546 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:17:51Z |
| publishDate | 2015 |
| record_format | eprints |
| spelling | uum-215462017-04-13T06:33:26Z https://repo.uum.edu.my/id/eprint/21546/ Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda QA75 Electronic computers. Computer science This study provides solutions to a LR-fuzzy linear system (LR-FLS) with trapezoidal fuzzy number using matrix theory. The components of the LR-FLS are represented in block matrices and vectors to produce an equivalent linear system. Then, the solution can be obtained using any classical linear system, such as an inversion matrix. In this method, fuzzy operations are not required and the solution obtained is either fuzzy or non-fuzzy exact solution. Finally, several examples are given to illustrate the ability of the proposed method. 2015 Conference or Workshop Item NonPeerReviewed Ahmad, Nazihah and Malkawi, Ghassan and Ibrahim, Haslinda (2015) Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory. In: Malaysian Technical Universities Conference on Engineering and Technology 2015 (MUCET2015), October 11-13, 2015, KSL Hotel, Johor Bahru, Malaysia.. (Unpublished) http://www.mucet.net/2015/?q=node/17 |
| spellingShingle | QA75 Electronic computers. Computer science Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title | Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title_full | Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title_fullStr | Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title_full_unstemmed | Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title_short | Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| title_sort | solution of lr fuzzy linear system with trapezoidal fuzzy number using matrix theory |
| topic | QA75 Electronic computers. Computer science |
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