\(LU\) decomposition scheme for solving \(m\)-polar fuzzy system of linear equations
type: Item
instance of: scholarly article
title: \(LU\) decomposition scheme for solving \(m\)-polar fuzzy system of linear equations
zbMATH Open document ID: 1459.15032
DOI: 10.1155/2020/8384593
author: Ali N. A. Koam
author: Muhammad Akram
author: Ghulam Muhammad
author: Nawab Hussain
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15B15
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 7260880
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8384593
OpenAlex ID: W3087873113
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description: scientific article; zbMATH DE number 7260880