Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance

Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance

We introduce a fuzzy norm on a subset of all fuzzy numbers by a distance and we use it to analyze an approximate solution of a system of fuzzy linear equations. By a theorem we give two error bounds for error of an approximate solution of a system of fuzzy linear equations.

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2012-06, Vol.16 (6), p.1035-1041
1. Verfasser: Amirfakhrian, Majid
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Computational Intelligence
Control
Engineering
Linear algebra
Linear equations
Mathematical analysis
Mathematical Logic and Foundations
Mechatronics
Norms
Original Paper
Robotics
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Zusammenfassung:We introduce a fuzzy norm on a subset of all fuzzy numbers by a distance and we use it to analyze an approximate solution of a system of fuzzy linear equations. By a theorem we give two error bounds for error of an approximate solution of a system of fuzzy linear equations.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-012-0801-0