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

Subject Areas : International Journal of Industrial Mathematics

M. Ghanbari ¹

1 - Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran.

Received: 2019-05-24 Accepted : 2019-07-30 Published : 2020-05-01

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

Abstract :

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.