Complex fuzzy system of linear equations with symmetric positive definite coefficient matrix

In this paper, we investigate an approach to solve complex fuzzy system of linear equations in the form = , where ∈ ℝ × is a crisp symmetric positive definite matrix and , are the complex fuzzy vectors. After reviewing the existence and uniqueness theorems, we propound special technique for converting such problems to systems oflinear equations. Then we apply direct and decomposition methods to solve them. The applicability and efficiency of this approach is illustrated with a numerical example.

Keywords:

Complex fuzzy number , Symmetric positive definite , System of linear equations , Cholesky decomposition method