TITLE:
On Monotone Eigenvectors of a Max-T Fuzzy Matrix
AUTHORS:
Qing Wang, Nan Qin, Zixuan Yang, Lifen Sun, Liangjun Peng, Zhudeng Wang
KEYWORDS:
Fuzzy Matrix, Triangular Norm, Max-T Algebra, Eigenspace, Monotone Eigenvector
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.5,
May
30,
2018
ABSTRACT: The eigenvectors of a fuzzy
matrix correspond to steady states of a complex discrete-events system,
characterized by the given transition matrix and fuzzy state vectors. The
descriptions of the eigenspace for matrices in the
max-Lukasiewicz algebra, max-min algebra, max-nilpotent-min algebra,
max-product algebra and max-drast algebra have been presented in previous
papers. In this paper, we investigate the monotone eigenvectors in a max-T algebra, list some particular
properties of the monotone eigenvectors in max-Lukasiewicz algebra, max-min
algebra, max-nilpotent-min algebra, max-product algebra and max-drast algebra,
respectively, and illustrate the relations among eigenspaces in these algebras
by some examples.