On Monotone Eigenvectors of a Max-<i>T </i>Fuzzy Matrix  

作　　者：Qing Wang Nan Qin Zixuan Yang Lifen Sun Liangjun Peng Zhudeng Wang 

机构地区：[1]School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, China

出　　处：《Journal of Applied Mathematics and Physics》2018年第5期1076-1085,共10页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Fuzzy Matrix Triangular Norm Max-T Algebra EIGENSPACE MONOTONE Eigenvector 

分 类 号：O1[理学—数学]