Decomposition Method for Solving Fully Fuzzy Linear Systems
الموضوعات :M. Mosleh 1 , M. Otadi 2 , A. Khanmirzaei 3
1 - Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
2 - Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
3 - Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
الکلمات المفتاحية: Fuzzy system, Symmetric and triangular decomposition, Symmetric positive definite and triangular decomposition,
ملخص المقالة :
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.
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