Approximate Solution of LR Fuzzy Matrix System

DOI

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.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - 10.2991/msam-18.2018.40
ID  - Shang2018/07
ER  -