LU Decomposition Scheme for Solving m-Polar Fuzzy System of Linear Equations

Joint Authors

Akram, Muhammad
Koam, Ali N. A.
Hussain, Nawab
Muhammad, Ghulam

Source

Mathematical Problems in Engineering

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-09-23

Country of Publication

Egypt

No. of Pages

19

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

Koam, Ali N. A.& Akram, Muhammad& Muhammad, Ghulam& Hussain, Nawab. 2020. LU Decomposition Scheme for Solving m-Polar Fuzzy System of Linear Equations. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1201086

Modern Language Association (MLA)

Koam, Ali N. A.…[et al.]. LU Decomposition Scheme for Solving m-Polar Fuzzy System of Linear Equations. Mathematical Problems in Engineering No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1201086

American Medical Association (AMA)

Koam, Ali N. A.& Akram, Muhammad& Muhammad, Ghulam& Hussain, Nawab. LU Decomposition Scheme for Solving m-Polar Fuzzy System of Linear Equations. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1201086

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1201086