A Limited Version of Crout Decomposition Method for Solving of Fuzzy Complex Linear ‎Systems

الموضوعات : مجله بین المللی ریاضیات صنعتی

M. Ghanbari ¹ (Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.)

تاريخ الإرسال : 19 الجمعة , رمضان, 1440 تاريخ التأكيد : 27 الثلاثاء , ذو القعدة, 1440 تاريخ الإصدار : 08 الجمعة , رمضان, 1441

الکلمات المفتاحية: Limited Crout decomposition ‎method, Fuzzy ‎n‎umber, Fuzzy complex number, Fuzzy complex linear system, Linear equations,

ملخص المقالة :

In this paper, it is shown that ‎the solution vector obtained by the classic Crout decomposition method is not an algebraic solution of a fuzzy complex linear system‎. Here‎, ‎we propose a limited version of the mentioned method to obtain an algebraic solution of a fuzzy complex linear system (if it exists)‎. ‎Two numerical examples are presented to show ability and reliability of our method.