Solving Fuzzy Linear System of Equations

الموضوعات :

Mohammad Izadikhah ¹ , Alexander Graham Zikller ²

1 - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
2 - Department of Mathematics, University of Mannheim, Baden-Württemberg, Germany

تاريخ الإرسال : 04 السبت , رجب, 1443 تاريخ التأكيد : 20 الأربعاء , شعبان, 1443 تاريخ الإصدار : 26 الأربعاء , ربيع الثاني, 1443

الکلمات المفتاحية: Linear system, Nearest Approximation, fuzzy data,

ملخص المقالة :

Many real problems may often be reduced to solving a system of linear equations. However, in such real-world problems, the existence of uncertainties, like a fuzzy environment, is inevitable. Thus, the main aim of this paper is to propose a solving approach for a fuzzy linear system of equalities. The presented approach is based on the nearest weighted approximation of fuzzy numbers. Two numerical examples illustrate the capabilities of the proposed approach.

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