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


Article Information

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

Authors: Nazihah Ahmad, Ghassan Malkawi, Haslinda Ibrahim

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2016

Volume: 11

Issue: 18

Language: English

Categories

Abstract

This study provides solutions to aLR-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.


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