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...
| Main Authors: | , |
|---|---|
| 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 |
| Summary: | 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. |
|---|---|
| ISSN: | 1735-8299 1735-8299 |