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arXiv · 1806.06039

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

Martin Gavalec·Zuzana Nemcova·Sergei Sergeev
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Abstract

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.

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Martin Gavalec, Zuzana Nemcova, Sergei Sergeev. 2018-06-15. (K,L)-eigenvectors in max-min algebra. https://doi.org/10.1016/j.fss.2020.07.008

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