Decomposition Method for Solving Fully Fuzzy Linear Systems

الموضوعات :

م. مصلح ¹ (Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran)
م. اوتادی ² (Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran)
A. خانمیرزایی ³ (Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran)

تاريخ الإرسال : 11 الثلاثاء , ربيع الثاني, 1430 تاريخ التأكيد : 14 الأحد , جمادى الثانية, 1430 تاريخ الإصدار : 19 الخميس , رجب, 1431

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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