Solution of LR-fuzzy linear system with trapezoidal fuzzy number using matrix theory

This study provides solutions to a LR-fuzzy linear system (LR-FLS) with trapezoidal fuzzy number using matrix theory. The components of the LR-FLS are represented in block matrices and vectors to produce an equivalent linear system. Then, the solution can be obtained using any classical linear syste...

Full description

Saved in:
Bibliographic Details
Main Authors: Ahmad, Nazihah, Malkawi, Ghassan, Ibrahim, Haslinda
Format: Conference or Workshop Item
Published: 2015
Subjects:
Online Access:http://repo.uum.edu.my/21546/
http://www.mucet.net/2015/?q=node/17
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study provides solutions to a LR-fuzzy linear system (LR-FLS) with trapezoidal fuzzy number using matrix theory. The components of the LR-FLS are represented in block matrices and vectors to produce an equivalent linear system. Then, the solution can be obtained using any classical linear system, such as an inversion matrix. In this method, fuzzy operations are not required and the solution obtained is either fuzzy or non-fuzzy exact solution. Finally, several examples are given to illustrate the ability of the proposed method.