DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be r...
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Rasht Branch
2009-07-01
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| Series: | Iranian Journal of Optimization |
| Subjects: | |
| Online Access: | http://ijo.iaurasht.ac.ir/pdf_513248_291741359f21a9d070a568157cb45eae.html |
| _version_ | 1818232841724493824 |
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| author | M. MOSLEH M. OTADI A. KHANMIRZAIE |
| author_facet | M. MOSLEH M. OTADI A. KHANMIRZAIE |
| author_sort | M. MOSLEH |
| collection | DOAJ |
| description | In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T. |
| first_indexed | 2024-12-12T11:12:42Z |
| format | Article |
| id | doaj.art-7707180e2a02446ca22d32ac5ea6aab8 |
| institution | Directory Open Access Journal |
| issn | 2008-5427 2008-5427 |
| language | English |
| last_indexed | 2024-12-12T11:12:42Z |
| publishDate | 2009-07-01 |
| publisher | Islamic Azad University, Rasht Branch |
| record_format | Article |
| series | Iranian Journal of Optimization |
| spelling | doaj.art-7707180e2a02446ca22d32ac5ea6aab82022-12-22T00:26:14ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2008-54272008-54272009-07-0112194204513248DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMSM. MOSLEH0M. OTADI1A. KHANMIRZAIE2Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranDepartment of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,IranDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranIn this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.http://ijo.iaurasht.ac.ir/pdf_513248_291741359f21a9d070a568157cb45eae.htmlSYMMETRIC AND TRIANGULAR DECOMPOSITIONFuzzy SystemSYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION |
| spellingShingle | M. MOSLEH M. OTADI A. KHANMIRZAIE DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS Iranian Journal of Optimization SYMMETRIC AND TRIANGULAR DECOMPOSITION Fuzzy System SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION |
| title | DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS |
| title_full | DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS |
| title_fullStr | DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS |
| title_full_unstemmed | DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS |
| title_short | DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS |
| title_sort | decomposition method for solving fully fuzzy linear systems |
| topic | SYMMETRIC AND TRIANGULAR DECOMPOSITION Fuzzy System SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION |
| url | http://ijo.iaurasht.ac.ir/pdf_513248_291741359f21a9d070a568157cb45eae.html |
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