Approximate Solution of LR Fuzzy Matrix System
Dequan Shang, Xingmin Wei, Xiaobin Guo
Available Online July 2018.
- 10.2991/msam-18.2018.40How to use a DOI?
- LR fuzzy numbers; matrix analysis; fuzzy matrix equations; fuzzy approximate solutions
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.
- © 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/).
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 - 10.2991/msam-18.2018.40 ID - Shang2018/07 ER -