Minimal Solution of Singular LR Fuzzy Linear Systems

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: M. Nikuie, M. Z. Ahmad
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/517218
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spelling doaj-a255d0b7d5fb4408b88e152428ca8b252020-11-25T01:37:59ZengHindawi LimitedThe 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
collection DOAJ
language English
format Article
sources DOAJ
author M. Nikuie
M. Z. Ahmad
spellingShingle M. Nikuie
M. Z. Ahmad
Minimal Solution of Singular LR Fuzzy Linear Systems
The Scientific World Journal
author_facet M. Nikuie
M. Z. Ahmad
author_sort M. Nikuie
title Minimal Solution of Singular LR Fuzzy Linear Systems
title_short 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_sort minimal solution of singular lr fuzzy linear systems
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/517218
work_keys_str_mv AT mnikuie minimalsolutionofsingularlrfuzzylinearsystems
AT mzahmad minimalsolutionofsingularlrfuzzylinearsystems
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