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

Authors :
Allahviranloo, T.
Babakordi, F.
Source :
Soft Computing - A Fusion of Foundations, Methodologies & Applications. Dec2017, Vol. 21 Issue 24, p7463-7472. 10p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14327643
Volume :
21
Issue :
24
Database :
Academic Search Index
Journal :
Soft Computing - A Fusion of Foundations, Methodologies & Applications
Publication Type :
Academic Journal
Accession number :
126132195
Full Text :
https://doi.org/10.1007/s00500-016-2294-8