(K,L) eigenvectors in max-min algebra

Martin Gavalec, Zuzana Němcová, Sergey Sergeev*

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)75-89
Number of pages15
JournalFuzzy Sets and Systems
Early online date17 Jul 2020
Publication statusPublished - 1 May 2021

Bibliographical note

Funding Information:
Supported by the Czech Science Foundation grant #18-01246S.Supported by EPSRC grant EP/P019676/1.

Publisher Copyright:
© 2020


  • Eigenvector
  • Fuzzy algebra
  • Max-min

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence


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