Soft Computing

, Volume 21, Issue 24, pp 7463–7472 | Cite as

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

Methodologies and Application


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.


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


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of MathematicsScience and Research Branch, Islamic Azad UniversityTehranIran
  2. 2.Department of MathematicsGonbad Kavous UniversityGonbad KavousIran

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