Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions

X Wang, M Li, Q Shu - Fuzzy Sets and Systems, 2024 - Elsevier
This article focuses on minimax programming problems subject to addition-Łukasiewicz
fuzzy relational inequalities. We first establish two necessary and sufficient conditions for a …

Tolerance problems for generalized eigenvectors of interval fuzzy matrices

M Gavalec, H Myšková, J Plavka, D Ponce - Kybernetika, 2022 - dml.cz
Fuzzy algebra is a special type of algebraic structure in which classical addition and
multiplication are replaced by maximum and minimum (denoted $\oplus $ and $\otimes …

[HTML][HTML] Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

M Gavalec, Z Němcová - Mathematics, 2020 - mdpi.com
The max-Łukasiewicz algebra describes fuzzy systems working in discrete time which are
based on two binary operations: the maximum and the Łukasiewicz triangular norm. The …

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

M Gavalec, Z Němcová, S Sergeev - Fuzzy Sets and Systems, 2021 - Elsevier
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 …

[HTML][HTML] On Monotone Eigenvectors of a Max-T Fuzzy Matrix

Q Wang, N Qin, Z Yang, L Sun, L Peng… - Journal of Applied …, 2018 - scirp.org
The eigenvectors of a fuzzy matrix correspond to steady states of a complex discrete-events
system, characterized by the given transition matrix and fuzzy state vectors. The descriptions …