Minimal Solution of Singular LR Fuzzy Linear Systems
In this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems. The capability of the generalized inverses such as Drazin inverse, pseudoinverse, and {1}-inverse...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/517218 |
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| _version_ | 1832554652505210880 |
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| author | M. Nikuie M. Z. Ahmad |
| author_facet | M. Nikuie M. Z. Ahmad |
| author_sort | M. Nikuie |
| collection | DOAJ |
| description | In this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems. The capability of the generalized inverses such as Drazin inverse, pseudoinverse, and {1}-inverse in finding minimal solution of singular consistent LR fuzzy linear systems is investigated. |
| format | Article |
| id | doaj-art-a255d0b7d5fb4408b88e152428ca8b25 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a255d0b7d5fb4408b88e152428ca8b252025-02-03T05:50:58ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/517218517218Minimal Solution of Singular LR Fuzzy Linear SystemsM. Nikuie0M. Z. Ahmad1Sama Technical and Vocational Training College, Islamic Azad University, Urmia Branch, Urmia, IranInstitute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, MalaysiaIn this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems. The capability of the generalized inverses such as Drazin inverse, pseudoinverse, and {1}-inverse in finding minimal solution of singular consistent LR fuzzy linear systems is investigated.http://dx.doi.org/10.1155/2014/517218 |
| spellingShingle | M. Nikuie M. Z. Ahmad Minimal Solution of Singular LR Fuzzy Linear Systems The Scientific World Journal |
| title | Minimal Solution of Singular LR Fuzzy Linear Systems |
| title_full | Minimal Solution of Singular LR Fuzzy Linear Systems |
| title_fullStr | Minimal Solution of Singular LR Fuzzy Linear Systems |
| title_full_unstemmed | Minimal Solution of Singular LR Fuzzy Linear Systems |
| title_short | Minimal Solution of Singular LR Fuzzy Linear Systems |
| title_sort | minimal solution of singular lr fuzzy linear systems |
| url | http://dx.doi.org/10.1155/2014/517218 |
| work_keys_str_mv | AT mnikuie minimalsolutionofsingularlrfuzzylinearsystems AT mzahmad minimalsolutionofsingularlrfuzzylinearsystems |