Soft Computing

, Volume 21, Issue 24, pp 7463–7472

# Algebraic solution of fuzzy linear system as: $$\widetilde{A} \widetilde{X}+ \widetilde{B} \widetilde{X}=\widetilde{Y}$$

Methodologies and Application

## Abstract

In this paper, fuzzy linear system as $$\widetilde{A} \widetilde{X}+ \widetilde{B} \widetilde{X}=\widetilde{Y}$$ in which $$\widetilde{A}, \widetilde{B}$$ are $$n \times n$$ fuzzy matrices and $$\widetilde{X}, \widetilde{Y}$$ are $$n \times 1$$ fuzzy vectors is studied. A new method to solve such systems based on interval linear system, interval inclusion linear system is proposed. Numerical examples are given to illustrate the ability of the proposed method.

## Keywords

Fuzzy linear system Interval linear system Interval inclusion linear system LR fuzzy number

## Conflict of interest

The authors declare that they have no conflict of interest.

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