Fuzzy Symmetric Solutions of Fuzzy Matrix Equations

Autor: Xiaobin Guo, Dequan Shang
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Advances in Fuzzy Systems, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 1687-7101
1687-711X
DOI: 10.1155/2012/318069
Popis: The fuzzy symmetric solution of fuzzy matrix equation AX˜=B˜, in which A is a crisp m×m nonsingular matrix and B˜ is an m×n fuzzy numbers matrix with nonzero spreads, is investigated. The fuzzy matrix equation is converted to a fuzzy system of linear equations according to the Kronecker product of matrices. From solving the fuzzy linear system, three types of fuzzy symmetric solutions of the fuzzy matrix equation are derived. Finally, two examples are given to illustrate the proposed method.
Databáze: Directory of Open Access Journals