Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory
This study provides solutions to aLR-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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Asian Research Publishing Network (ARPN)
2016
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/30789/1/ARPN%2011%2018%202016%2019022-10930.pdf |
| _version_ | 1825806246592118784 |
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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 aLR-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 | 2024-07-04T06:46:28Z |
| format | Article |
| id | uum-30789 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:46:28Z |
| publishDate | 2016 |
| publisher | Asian Research Publishing Network (ARPN) |
| record_format | eprints |
| spelling | uum-307892024-05-19T08:43:54Z https://repo.uum.edu.my/id/eprint/30789/ Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda QA Mathematics This study provides solutions to aLR-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 Asian Research Publishing Network (ARPN) 2016 Article PeerReviewed application/pdf en cc4_by_nc https://repo.uum.edu.my/id/eprint/30789/1/ARPN%2011%2018%202016%2019022-10930.pdf Ahmad, Nazihah and Malkawi, Ghassan and Ibrahim, Haslinda (2016) Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory. ARPN Journal of Engineering and Applied Sciences, 11 (18). pp. 10922-10930. ISSN 1819-6608 https://www.arpnjournals.com/jeas/index.htm |
| spellingShingle | QA Mathematics Ahmad, Nazihah Malkawi, Ghassan Ibrahim, Haslinda Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title | Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title_full | Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title_fullStr | Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title_full_unstemmed | Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title_short | Solution Of Lr-Fuzzy Linear Systemwith Trapezoidal Fuzzy Numberusing Matrix Theory |
| title_sort | solution of lr fuzzy linear systemwith trapezoidal fuzzy numberusing matrix theory |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/30789/1/ARPN%2011%2018%202016%2019022-10930.pdf |
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