Decomposition Method for Solving Fully Fuzzy Linear Systems

Iranian Journal of Optimization

مقاله 7، دوره 2، شماره 2، مهر 2010، صفحه 150-158   

نوع مقاله: Research Paper

نویسندگان

M. Mosleh¹؛ M. Otadi^{* 2}؛ A. Khanmirzaie¹

¹Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran

²Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran

چکیده

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.

کلیدواژه‌ها

Symmetric and triangular decomposition؛ Fuzzy system؛ Symmetric positive definite and triangular decomposition

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