Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)

Approximate Solution of LR Fuzzy Matrix System

Authors
Dequan Shang, Xingmin Wei, Xiaobin Guo
Corresponding Author
Dequan Shang
Available Online July 2018.
DOI
https://doi.org/10.2991/msam-18.2018.40How to use a DOI?
Keywords
LR fuzzy numbers; matrix analysis; fuzzy matrix equations; fuzzy approximate solutions
Abstract
In this paper we proposed a general model for solving the fuzzy matrix equation AX=B in which is a crisp matrix and B is an arbitrary LR fuzzy numbers matrix. The original fuzzy equation is converted to a system of linear matrix equations by the embedding approach. The fuzzy solution is derived from solving model and a sufficient condition for the existence of strong LR fuzzy solution is analyzed. Two illustrating examples are given to show the effectiveness of the proposed method.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Dequan Shang
AU  - Xingmin Wei
AU  - Xiaobin Guo
PY  - 2018/07
DA  - 2018/07
TI  - Approximate Solution of LR Fuzzy Matrix System
BT  - Proceedings of the 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018)
PB  - Atlantis Press
SP  - 188
EP  - 191
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-18.2018.40
DO  - https://doi.org/10.2991/msam-18.2018.40
ID  - Shang2018/07
ER  -