Linear systems have important applications to many branches of science and engineering. In many applications, some of the parameters of the system are represented by fuzzy rather than crisp numbers. So it is immensely important to develop numerical procedures that would appropriately treat general fuzzy linear systems and solve them. In this paper, we propose a new method based on aQbR's algorithm to solve a fuzzy linear system of linear equations. The method in detail is discussed and illustrated by solving some numerical examples.

fuzzy arithmetic, fuzzy linear system of equations, fuzzy number, aQbR's algorithm.