scholarly journals On the solution of fuzzy dual linear systems of equation

2015 ◽  
Vol 4 (2) ◽  
pp. 325
Author(s):  
S. M. Khorasani Kiasari ◽  
L. Abdollahzadeh Ramhormozi
Keyword(s):  
Objective Function ◽  
Linear Systems ◽  
Optimization Problem ◽  
Existence Of Solution ◽  
Systems Of Equations ◽  
Numerical Examples ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems ◽  
Linear Systems Of Equations

<p>In this paper the exact, multiple and approximation solutions of Dual fuzzy linear systems of equations(DFLSE) with triangular variable are investigated based on a 1-level expansion. To this end, 1-level of DFLSE are solved for calculating the cores of fuzzy solution and then its spreads are obtained by solving an optimization problem with a special objective function. Finally, the existence of solution of DFLSE is proved in details and some numerical examples are solved to illustrate the accuracy and capability of the method</p>

scholarly journals A Relaxed Kaczmarz Method for Fuzzy Linear Systems

2021 ◽  
Author(s):  
Ke Wang ◽  
Shijun Zhang ◽  
Shiheng Wang
Keyword(s):  
Linear Systems ◽  
Convergence Theorem ◽  
Iterative Scheme ◽  
Coefficient Matrix ◽  
Systems Of Equations ◽  
Numerical Examples ◽  
Right Hand ◽  
Kaczmarz Method ◽  
Fuzzy Linear Systems ◽  
Linear Systems Of Equations

Abstract A relaxed Kaczmarz method is presented for solving a class of fuzzy linear systems of equations with crisp coefficient matrix and fuzzy right-hand side. The iterative scheme is established and the convergence theorem is provided. Numerical examples show that the method is effective.

scholarly journals On the fuzzy solution of LR fuzzy linear systems

2013 ◽  
Vol 37 (3) ◽  
pp. 1170-1176 ◽  
Author(s):  
T. Allahviranloo ◽  
F. Hosseinzadeh Lotfi ◽  
M. Khorasani Kiasari ◽  
M. Khezerloo
Keyword(s):  
Linear Systems ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems

Solving Non-linear Systems of Equations on Graphics Processing Units

2010 ◽  
pp. 719-729 ◽  
Author(s):  
Lubomir T. Dechevsky ◽  
Børre Bang ◽  
Joakim Gundersen ◽  
Arne Lakså ◽  
Arnt R. Kristoffersen
Keyword(s):  
Linear Systems ◽  
Graphics Processing Units ◽  
Systems Of Equations ◽  
Non Linear ◽  
Non Linear Systems ◽  
Graphics Processing ◽  
Linear Systems Of Equations

Linear Systems of Equations

1993 ◽  
pp. 175-194
Author(s):  
Ulrich Kulisch ◽  
Rolf Hammer ◽  
Dietmar Ratz ◽  
Matthias Hocks
Keyword(s):  
Linear Systems ◽  
Systems Of Equations ◽  
Linear Systems Of Equations
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