Polynomial and pseudopolynomial procedures for solving interval two-sided (max, plus)-linear systems

H Myšková, J Plavka - Mathematics, 2021 - mdpi.com
Max-plus algebra is the similarity of the classical linear algebra with two binary operations,
maximum and addition. The notation Ax= Bx, where A, B are given (interval) matrices …

AE and EA robustness of interval circulant matrices in max-product algebra

H Myšková, J Plávka - Fuzzy Sets and Systems, 2021 - Elsevier
Max-product algebra is defined as a linearly ordered set with two binary operations.
Classical addition and multiplication are replaced by maximum and multiplication …

Strong -robustness of interval max-min matrices

H Myšková, J Plavka - Kybernetika, 2021 - dml.cz
In max-min algebra the standard pair of operations plus and times is replaced by the pair of
operations maximum and minimum, respectively. A max-min matrix $ A $ is called strongly …

Tolerance and weak tolerance of interval eigenvectors in fuzzy algebra

M Gavalec, J Plávka, D Ponce - Fuzzy Sets and Systems, 2021 - Elsevier
In max-min fuzzy algebra, the study of eigenvectors is important because it can help us to
recognize the steady states of systems working in discrete steps. This paper investigates 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 …

Interval valued fuzzy matrix-based decision making for machine learning algorithms

P Bhatnagar, K Ohri, D Sukheja - International Journal of …, 2021 - inderscienceonline.com
Decision making is very important in machine learning or imparting artificial intelligence into
machines that work upon the traditional logic theory. It is a process that helps a machine to …