Abstract
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×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.
Highlights
Certain types of uncertainties arise in several areas of engineering and decision-making
Moghadam et al [8] described the concept of trapezoidal fuzzy numbers and other affected investigations were shown in [9, 10]. e notion of m-polar fuzzy set was proposed by Chen et al [11] as the generalization of bipolar fuzzy set [12]
Akram et al [40] discussed the solution of linear system in m-polar fuzzy environment. is paper presents a new scheme for solving m-polar fuzzy system of linear equations (m-PFSLEs) by using LU decomposition method
Summary
Certain types of uncertainties arise in several areas of engineering and decision-making. LU decomposition method is used to solve many different kinds of systems of linear equations in m-polar fuzzy environment. It is faster and more numerically stable than computing explicit inverses. We Mathematical Problems in Engineering introduce the new approach to solve linear system in m-polar fuzzy environment. Is paper presents a new scheme for solving m-polar fuzzy system of linear equations (m-PFSLEs) by using LU decomposition method. We investigate the inconsistent m × nm-polar fuzzy matrix equation (m-PFME) and find the least square solution (LSS) of this system by using generalized inverse matrix theory.
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