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Mosleh, M., Otadi, M., Khanmirzaie, A. (2010). DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS. Iranian Journal of Optimization, 2(2), 194-204.
M. Mosleh; M. Otadi; A. Khanmirzaie. "DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS". Iranian Journal of Optimization, 2, 2, 2010, 194-204.
Mosleh, M., Otadi, M., Khanmirzaie, A. (2010). 'DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS', Iranian Journal of Optimization, 2(2), pp. 194-204.
Mosleh, M., Otadi, M., Khanmirzaie, A. DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS. Iranian Journal of Optimization, 2010; 2(2): 194-204.

DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS

Article 7, Volume 2, Issue 2, Summer 2010, Page 194-204  XML PDF (117.48 K)
Document Type: Research Paper
Authors
M. Mosleh1; M. Otadi email 2; A. Khanmirzaie1
1Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
2Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
Receive Date: 07 April 2009,  Revise Date: 07 May 2009,  Accept Date: 07 June 2009 
Abstract
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.
Keywords
Symmetric and triangular decomposition; Fuzzy system; Symmetric positive definite and triangular decomposition
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