(K, L)-eigenvectors in max-min algebra

被引：1

作者：

Gavalec, Martin ^{[1
]}

Nemcova, Zuzana ^{[1
]}

Sergeev, Sergei ^{[2
]}

机构：

[1] Univ Hradec Kralove, Fac Informat & Management, Rokitanskeho 62, Hradec Kralove 50003, Czech Republic

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

FUZZY SETS AND SYSTEMS | 2021年 / 410卷

基金：

英国工程与自然科学研究理事会;

关键词：

Max-min; Fuzzy algebra; Eigenvector; EIGEN FUZZY-SETS; EIGENVECTORS; SYSTEMS;

D O I：

10.1016/j.fss.2020.07.008

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using the concept of (K, L)-eigenvector, we investigate the structure of the max-min eigenspace associated with a given eigenvalue of a matrix in the max-min algebra (also known as fuzzy algebra). In our approach, the max-min eigenspace is split into several regions according to the order relations between the eigenvalue and the components of x. The resulting theory of (K, L)eigenvectors, being based on the fundamental results of Gondran and Minoux, allows to describe the whole max-min eigenspace explicitly and in more detail . (c) 2020 Elsevier B.V. All rights reserved.

引用

页码：75 / 89

页数：15

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