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has been cited by the following article:

• 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.