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

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.

Automated summary

By utilizing the concept of (K, L)-eigenvector, the study examines the structure of the max-min eigenspace associated with a specific eigenvalue in the max-min algebra, splitting it into various regions based on the order relations between the eigenvalue and the components of x. The resulting theory of (K, L)-eigenvectors, building upon the foundational work of Gondran and Minoux, offers a comprehensive and detailed description of the entire max-min eigenspace.