Algebraic solution of fuzzy linear system as: A~X~+B~X~=Y

Algebraic solution of fuzzy linear system as: A~X~+B~X~=Y

In this paper, fuzzy linear system as A ~ X ~ + B ~ X ~ = Y ~ in which A ~ , B ~ are n × n fuzzy matrices and X ~ , Y ~ are n × 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 t...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2017-12, Vol.21 (24), p.7463-7472
Hauptverfasser: Allahviranloo, T., Babakordi, F.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Artificial Intelligence
Computational Intelligence
Control
Engineering
Mathematical analysis
Mathematical Logic and Foundations
Matrix algebra
Mechatronics
Methodologies and Application
Robotics
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Zusammenfassung:In this paper, fuzzy linear system as A ~ X ~ + B ~ X ~ = Y ~ in which A ~ , B ~ are n × n fuzzy matrices and X ~ , Y ~ are n × 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.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-016-2294-8