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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Main Authors: N. Mikaeilvand∗, Z. Noeiaghdam
Format: Article
Language:English
Published: Islamic Azad University 2015-12-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/332/244
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spelling 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
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