About: Eigenspace structure of a max-drast fuzzy matrix

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 permutations of 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. 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 permutations of 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. (en)
Title	Eigenspace structure of a max-drast fuzzy matrix Eigenspace structure of a max-drast fuzzy matrix (en)
skos:prefLabel	Eigenspace structure of a max-drast fuzzy matrix Eigenspace structure of a max-drast fuzzy matrix (en)
skos:notation	RIV/62690094:18450/14:50002399!RIV15-GA0-18450___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA402/09/0405)
http://linked.open...iv/cisloPeriodika	16.8.2014
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Gavalec, Martin Cimler, Richard
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Hradec Králové / Fakulta informatiky a managementu
http://linked.open...dnocenehoVysledku	13895
http://linked.open...ai/riv/idVysledku	RIV/62690094:18450/14:50002399
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Eigenvector; Fuzzy matrix; (max, drast)-algebra; Drastic triangular norm (en)
http://linked.open.../riv/klicoveSlovo	Drastic triangular norm Eigenvector Fuzzy matrix drast)-algebra (max
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[1297B24AE548]
http://linked.open...i/riv/nazevZdroje	Fuzzy sets and systems
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of Non-standard Optimization Methods and their Applications in Economy and Management
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	249
http://linked.open...iv/tvurceVysledku	Gavalec, Martin Cimler, Richard Rashid, Imran
http://linked.open...ain/vavai/riv/wos	000338391900006
issn	0165-0114
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.fss.2013.10.008
http://localhost/t...ganizacniJednotka	18450

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