\(LU\) decomposition scheme for solving \(m\)-polar fuzzy system of linear equations (Q2004146)

Summary: This paper presents a new scheme for solving \(m\)-polar fuzzy system of linear equations \((m\)-PFSLEs) by using \(LU\) decomposition method. We assume the coefficient matrix of the system is symmetric positive definite, and we discuss this point in detail with some numerical examples. Furthermore, we investigate the inconsistent \(m\times nm \)-polar fuzzy matrix equation \((m\)-PFME) and find the least square solution (LSS) of this system by using generalized inverse matrix theory. Moreover, we discuss the strong solution of \(m\)-polar fuzzy LSS of the inconsistent \(m\)-PFME. In the end, we present a numerical example to illustrate our approach.