About: Crisply generated fuzzy concept

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Crisp generované fuzzy koncepty ve formální konceptuální analýze (cs) In formal concept analysis of data with fuzzy attributes, both the extent and the intent of a formal (fuzzy) concept may be fuzzy sets. In this paper we focus on so-called crisply generated formal concepts. A concept $\lrangle{A,B}\in\conclat{X}{Y}{I}$ is crisply generated if $A=D^\down$ (and so $B=D^{\down\up}$) for some crisp (i.e., ordinary) set $D\subseteq Y$ of attributes (generator). Considering only crisply generated concepts has two practical consequences. First, the number of crisply generated formal concepts is considerably less than the number of all formal fuzzy concepts. Second, since crisply generated concepts may be identified with a (ordinary, not fuzzy) set of attributes (the largest generator), they might be considered ``the important ones'' among all formal fuzzy concepts. We present basic properties of the set of all crisply generated concepts, an algorithm for listing all crisply generated concepts, a version of the main theorem of concept lattices for crisply generated In formal concept analysis of data with fuzzy attributes, both the extent and the intent of a formal (fuzzy) concept may be fuzzy sets. In this paper we focus on so-called crisply generated formal concepts. A concept $\lrangle{A,B}\in\conclat{X}{Y}{I}$ is crisply generated if $A=D^\down$ (and so $B=D^{\down\up}$) for some crisp (i.e., ordinary) set $D\subseteq Y$ of attributes (generator). Considering only crisply generated concepts has two practical consequences. First, the number of crisply generated formal concepts is considerably less than the number of all formal fuzzy concepts. Second, since crisply generated concepts may be identified with a (ordinary, not fuzzy) set of attributes (the largest generator), they might be considered ``the important ones'' among all formal fuzzy concepts. We present basic properties of the set of all crisply generated concepts, an algorithm for listing all crisply generated concepts, a version of the main theorem of concept lattices for crisply generated (en)
Title	Crisply generated fuzzy concept Crisp generované fuzzy koncepty (cs) Crisply generated fuzzy concept (en)
skos:prefLabel	Crisply generated fuzzy concept Crisp generované fuzzy koncepty (cs) Crisply generated fuzzy concept (en)
skos:notation	RIV/61989592:15310/05:00002480!RIV06-AV0-15310___
http://linked.open.../vavai/riv/strany	268-283
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1ET101370417)
http://linked.open...vai/riv/dodaniDat	2006
http://linked.open...aciTvurceVysledku	Sklenář, Vladimír Bělohlávek, Radim Zacpal, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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	516539
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/05:00002480
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	formal concept analysis; crisply generated fuzzy concept (en)
http://linked.open.../riv/klicoveSlovo	formal concept analysis crisply generated fuzzy concept
http://linked.open...ontrolniKodProRIV	[27CD1831D221]
http://linked.open...v/mistoKonaniAkce	Lens; France
http://linked.open...i/riv/mistoVydani	Heidelberg
http://linked.open...i/riv/nazevZdroje	International Conference on Formal Concept Analysis 2005; Lecture Notes in Artificial Intelligence
http://linked.open...in/vavai/riv/obor	BD
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Hierarchical analysis of complex data
http://linked.open...UplatneniVysledku	2005
http://linked.open...iv/tvurceVysledku	Bělohlávek, Radim Sklenář, Vladimír Zacpal, Jiří
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2005-01-01 (xsd:date)
number of pages	16 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	3-540-24525-1
http://localhost/t...ganizacniJednotka	15310

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