Eigenspace structure of a max-drast fuzzy matrix

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F14%3A50002399" target="_blank" >RIV/62690094:18450/14:50002399 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2013.10.008" target="_blank" >http://dx.doi.org/10.1016/j.fss.2013.10.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2013.10.008" target="_blank" >10.1016/j.fss.2013.10.008</a>

Result language
angličtina
Original language name
Eigenspace structure of a max-drast fuzzy matrix
Original language description
The structure of the eigenspace of a given fuzzy matrix is considered in a specific max-t-norm algebra, called max-drast algebra, where the least t-norm (often called drastic) is used. Necessary and sufficient conditions are presented under which the monotone eigenspace (the set of all monotone eigenvectors) of a given matrix is non-empty and, in the positive case, the structure of the monotone eigenspace is described. These structural results are then extended to the whole eigenspace using permutationsof rows and columns. The work is a follow up to earlier works of the authors in which the eigenspace of a max?min fuzzy matrix and/or the eigenspace of a max-Łukasiewicz fuzzy matrix has been described as a union of intervals.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Development of Non-standard Optimization Methods and their Applications in Economy and Management</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)