The General Solutions of Fuzzy Linear Matrix Equations
The main aim of this paper is to illustrate and discuss consistent Fuzzy Linear Matrix Equations (shown as FLME) of the form Pl i=1(AiXiBi) = C for finding its fuzzy number solutions. Similar equation is studied in [12] based on Friedman’s method [5]. Recently, Mikaeilvand et al. [13] proposed...
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doaj-ed5a7d57a7ce46aebda591658b5811fd2020-11-25T03:45:09ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-12-0194113The General Solutions of Fuzzy Linear Matrix EquationsN. Mikaeilvand∗0Z. Noeiaghdam1Ardabil Branch, Islamic Azad UniversityArdabil Branch, Islamic Azad UniversityThe main aim of this paper is to illustrate and discuss consistent Fuzzy Linear Matrix Equations (shown as FLME) of the form Pl i=1(AiXiBi) = C for finding its fuzzy number solutions. Similar equation is studied in [12] based on Friedman’s method [5]. Recently, Mikaeilvand et al. [13] proposed a novel method based on Ezzati’s method [4] for solving fuzzy linear systems, which is better than Friedman’s method numerically. In this article, we used this method for finding the general solutions of consistent FLME. The parametric form of fuzzy numbers is used. The embedding method is profited to transform fuzzy linear matrix equations to parametric linear equations, and a numerical procedure for calculating the solutions is designed.http://ijmex.com/index.php/ijmex/article/view/332/244 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
N. Mikaeilvand∗ Z. Noeiaghdam |
spellingShingle |
N. Mikaeilvand∗ Z. Noeiaghdam The General Solutions of Fuzzy Linear Matrix Equations Journal of Mathematical Extension |
author_facet |
N. Mikaeilvand∗ Z. Noeiaghdam |
author_sort |
N. Mikaeilvand∗ |
title |
The General Solutions of Fuzzy Linear Matrix Equations |
title_short |
The General Solutions of Fuzzy Linear Matrix Equations |
title_full |
The General Solutions of Fuzzy Linear Matrix Equations |
title_fullStr |
The General Solutions of Fuzzy Linear Matrix Equations |
title_full_unstemmed |
The General Solutions of Fuzzy Linear Matrix Equations |
title_sort |
general solutions of fuzzy linear matrix equations |
publisher |
Islamic Azad University |
series |
Journal of Mathematical Extension |
issn |
1735-8299 1735-8299 |
publishDate |
2015-12-01 |
description |
The main aim of this paper is to illustrate and discuss
consistent Fuzzy Linear Matrix Equations (shown as FLME) of the
form Pl
i=1(AiXiBi) = C for finding its fuzzy number solutions. Similar
equation is studied in [12] based on Friedman’s method [5]. Recently,
Mikaeilvand et al. [13] proposed a novel method based on Ezzati’s
method [4] for solving fuzzy linear systems, which is better than
Friedman’s method numerically. In this article, we used this method
for finding the general solutions of consistent FLME. The parametric
form of fuzzy numbers is used. The embedding method is profited to
transform fuzzy linear matrix equations to parametric linear equations,
and a numerical procedure for calculating the solutions is designed. |
url |
http://ijmex.com/index.php/ijmex/article/view/332/244 |
work_keys_str_mv |
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_version_ |
1724510958888419328 |