About: Row and Column Spaces of Matrices over Residuated Lattices

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present results regarding row and column spaces of matrices whose entries are elements of residuated lattices. In particular, we define the notions of a row and column space for matrices over residuated lattices, provide connections to concept lattices and other structures associated to such matrices, and show several properties of the row and column spaces, including properties that relate the row and column spaces to Schein ranks of matrices over residuated lattices. Among the properties is a characterization of matrices whose row (column) spaces are isomorphic. In addition, we present observations on the relationships between results established in Boolean matrix theory on one hand and formal concept analysis on the other hand. We present results regarding row and column spaces of matrices whose entries are elements of residuated lattices. In particular, we define the notions of a row and column space for matrices over residuated lattices, provide connections to concept lattices and other structures associated to such matrices, and show several properties of the row and column spaces, including properties that relate the row and column spaces to Schein ranks of matrices over residuated lattices. Among the properties is a characterization of matrices whose row (column) spaces are isomorphic. In addition, we present observations on the relationships between results established in Boolean matrix theory on one hand and formal concept analysis on the other hand. (en)
Title	Row and Column Spaces of Matrices over Residuated Lattices Row and Column Spaces of Matrices over Residuated Lattices (en)
skos:prefLabel	Row and Column Spaces of Matrices over Residuated Lattices Row and Column Spaces of Matrices over Residuated Lattices (en)
skos:notation	RIV/61989592:15310/12:33141900!RIV13-MSM-15310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP202/10/0262), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Konečný, Jan Bělohlávek, Radim
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 Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	166245
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/12:33141900
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	graded matrix, formal concept analysis, morphism (en)
http://linked.open.../riv/klicoveSlovo	formal concept analysis graded matrix morphism
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[1D5E87E24CEF]
http://linked.open...i/riv/nazevZdroje	Fundamenta Informaticae
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	115
http://linked.open...iv/tvurceVysledku	Bělohlávek, Radim Konečný, Jan
http://linked.open...ain/vavai/riv/wos	000304190500003
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
issn	0169-2968
number of pages	17 (xsd:int)
http://bibframe.org/vocab/doi	10.3233/FI-2012-656
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Row and Column Spaces of Matrices over Residuated Lattices

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