Near zero fuzzy solution of fully fuzzy linear systems+

This paper discusses near zero fuzzy solution of a class of fully fuzzy linear systems
$\tilde{A}\tilde{x}=\tilde{b}$
in which the coefficient matrix
$\tilde{A}$
is a positive fuzzy matrix based on an improved approximate multiplication of
$\mathbf{LR}$
fuzzy numbers. When unknown vector
$\tilde{x}$
is a near zero fuzzy vector, a computing model is established and respective expression of the solution to fully fuzzy linear system is derived, Meanwhile, the sufficient condition for the existence of strong fuzzy solution is obtained. A numerical example is given to illustrate the method we proposed.