TY - JOUR
A2 - Pomares, Hector
AU - Guo, Xiaobin
AU - Shang, Dequan
PY - 2013
DA - 2013/03/14
TI - Approximate Solution of LR Fuzzy Sylvester Matrix Equations
SP - 752760
VL - 2013
AB - The fuzzy Sylvester matrix equation AX~+X~B=C~ in which A,B are m×m and n×n crisp matrices, respectively, and C~ is an m×n LR fuzzy numbers matrix is investigated. Based on the Kronecker product of matrices, we convert the fuzzy Sylvester matrix equation into an LR fuzzy linear system. Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers. The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems. The existence condition of the LR fuzzy solution is also discussed. Some examples are given to illustrate the proposed method.
SN - 1110-757X
UR - https://doi.org/10.1155/2013/752760
DO - 10.1155/2013/752760
JF - Journal of Applied Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -