The Analysis of the Fuzzy Solution to Fully Fuzzy Linear Systems in Two Perturbation Situations

2019 ◽  
pp. 791-799
Author(s):  
Kun Liu ◽  
Wei-peng Li ◽  
Yong-ling Li ◽  
Hong-ying Duan
Keyword(s):  
Linear Systems ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems

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

scholarly journals A note on “The nearest symmetric fuzzy solution for a symmetric fuzzy linear system”

2015 ◽  
Vol 23 (2) ◽  
pp. 173-177 ◽  
Author(s):  
Ghassan Malkawi ◽  
Nazihah Ahmad ◽  
Haslinda Ibrahim
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Approximate Solutions ◽  
Fuzzy Linear System ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems

Abstract This paper provides accurate approximate solutions for the symmetric fuzzy linear systems in (Allahviranloo et al:[1]).

scholarly journals A QUADRATIC PROGRAMMING MODEL FOR OBTAINING WEAK FUZZY SOLUTION TO FUZZY LINEAR SYSTEMS

2019 ◽  
pp. 381
Author(s):  
Abbas Akrami ◽  
Majid Erfanian
Keyword(s):  
Experimental Data ◽  
Linear Systems ◽  
Optimization Model ◽  
Fuzzy Numbers ◽  
Programming Model ◽  
Linear Equations ◽  
Real Life ◽  
System Of Linear Equations ◽  
Fuzzy Solution ◽  
Fuzzy Linear Systems

Real life applications arising in various fields of engineering and science (e.g. electrical, civil, economics, dietary, etc.) can be modelled using a system of linear equations. In such models, it may happen that the values of the parameters are not known or they cannot be stated precisely and that only their estimation due to experimental data or experts knowledge is available. In such a situation it is convenient to represent such parameters by fuzzy numbers. In this paper we propose an efficient optimization model for obtaining a weak fuzzy solution to fuzzy linear systems (FLS). We solve some examples and we show that this method is always efficient.

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>

Methods for solving LR-bipolar fuzzy linear systems

2021 ◽  
Author(s):  
Muhammad Akram ◽  
Tofigh Allahviranloo ◽  
Witold Pedrycz ◽  
Muhammad Ali
Keyword(s):  
Linear Systems ◽  
Fuzzy Linear Systems

Solving fuzzy linear systems using a block representation of generalized inverses: The group inverse

2018 ◽  
Vol 353 ◽  
pp. 66-85 ◽  
Author(s):  
Biljana Mihailović ◽  
Vera Miler Jerković ◽  
Branko Malešević
Keyword(s):  
Linear Systems ◽  
Generalized Inverses ◽  
Group Inverse ◽  
Fuzzy Linear Systems

Fuzzy linear systems

1992 ◽  
Vol 49 (3) ◽  
pp. 339-355 ◽  
Author(s):  
Ketty Peeva
Keyword(s):  
Linear Systems ◽  
Fuzzy Linear Systems

Solving fuzzy linear systems using a block representation of generalized inverses: The Moore–Penrose inverse

2018 ◽  
Vol 353 ◽  
pp. 44-65 ◽  
Author(s):  
Biljana Mihailović ◽  
Vera Miler Jerković ◽  
Branko Malešević
Keyword(s):  
Linear Systems ◽  
Generalized Inverses ◽  
Fuzzy Linear Systems
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