Projects per year
Abstract
The maxŁukasiewicz semiring is defined as the unit interval [0,1] equipped with the arithmetics “a+b”=max(a,b) and “ab”=max(0,a+b−1). Linear algebra over this semiring can be developed in the usual way. We observe that any problem of the maxŁukasiewicz linear algebra can be equivalently formulated as a problem of the tropical (maxplus) linear algebra. Based on this equivalence, we develop a theory of the matrix powers and the eigenproblem over the maxŁukasiewicz semiring.
Original language  English 

Pages (fromto)  131148 
Journal  Fuzzy Sets and Systems 
Volume  276 
Early online date  12 Nov 2014 
DOIs  
Publication status  Published  1 Oct 2015 
Keywords
 Matrix power
 Tropical
 Maxplus
 Łukasiewicz
 Eigenvector
Fingerprint
Dive into the research topics of 'Tropical linear algebra with the Łukasiewicz Tnorm'. Together they form a unique fingerprint.Projects
 1 Finished

PerronFrobenius Theory and MaxAlgebraic Combinatorics of Nonnegative Matrices
Butkovic, P.
Engineering & Physical Science Research Council
12/03/12 → 11/03/14
Project: Research Councils