Interval eigenproblem in max-min algebra

M Gavalec, J Ramík, K Zimmermann, M Gavalec… - Decision Making and …, 2015 - Springer
The eigenvectors of square matrices in max-min algebra correspond to steady states in
discrete events system in various application areas, such as design of switching circuits …

Monotone interval eigenproblem in max–min algebra

M Gavalec, J Plavka - Kybernetika, 2010 - dml.cz
The interval eigenproblem in max-min algebra is studied. A classification of interval
eigenvectors is introduced and six types of interval eigenvectors are described …

Strong, strongly universal and weak interval eigenvectors in max-plus algebra

M Gavalec, J Plavka, D Ponce - Mathematics, 2020 - mdpi.com
The optimization problems, such as scheduling or project management, in which the
objective function depends on the operations maximum and plus, can be naturally …

Tolerance types of interval eigenvectors in max-plus algebra

M Gavalec, J Plávka, D Ponce - Information Sciences, 2016 - Elsevier
Max-plus algebra plays a key role in the study of discrete event systems in connection with
optimization problems such as scheduling or project management in which the objective …

Eigenspace of a circulant max–min matrix

M Gavalec, H Tomášková - Kybernetika, 2010 - dml.cz
Kybernetika Page 1 Kybernetika Martin Gavalec; Hana Tomášková Eigenspace of a
circulant max–min matrix Kybernetika, Vol. 46 (2010), No. 3, 397--404 Persistent URL: http://dml.cz/dmlcz/140755 …

[HTML][HTML] Eigenvectors of interval matrices over max–plus algebra

K Cechlarova - Discrete applied mathematics, 2005 - Elsevier
The behaviour of a discrete-event dynamic system is often conveniently described using a
matrix algebra with operations max and plus. Such a system moves forward in regular steps …

Characteristic polynomial of matrices over interval max-plus algebra

S Siswanto, VY Kurniawan, P Pangadi… - AIP Conference …, 2021 - pubs.aip.org
Let ℝ be the set of all real number and ε=-∞. Max-plus algebra is the set ℝ ε= ℝ∪{ε} that is
equipped with maximum (⊕) and addition (⊗) operations. For each A∈ ℝ ε n× n can be …

Decision making and optimization

M Gavalec, J Ramík, K Zimmermann - Lecture notes in economics and …, 2015 - Springer
This book deals with properties of some special classes of matrices that are useful in
economics and decision making problems. In various fields of evaluation, selection, and …

Strong tolerance of interval eigenvectors in fuzzy algebra

M Gavalec, J Plávka, D Ponce - Fuzzy Sets and Systems, 2019 - Elsevier
In max–min fuzzy algebra, the standard pair of operations—plus and times—is substituted
by a different pair of operations—maximum and minimum—which are involved in many …

Eigenproblem for circulant matrices in max-plus algebra

H Tomášková - Proceedings of the 12th WSEAS international …, 2010 - dl.acm.org
The eigenproblem for matrices in max-plus algebra was investigated by several authors. In
the contribution, the eigenproblem is studied for circulant matrices in the general case. Four …