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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F05%3A00002092%21RIV10-MSM-15310___
rdf:type
n19:Vysledek skos:Concept
dcterms:description
We introduce (fuzzy) Galois connections with hedges. Fuzzy Galois connections are basic structures behind so-called formal concept analysis of data with fuzzy attributes. Introducing hedges to Galois connections means introducing two parameters. The parameters influence the size of the set of all the fixpoints of a Galois connection. In the sense of formal concept analysis, the fixpoints, called formal concepts, are just the clusters extracted from data. The role of hedges is thus to control the number of extracted clusters. Stronger hedges lead to less clusters. We present definition, examples, and basic properties of Galois connections with hedges. In addition to that, we provide their axiomatization: Galois connections with hedges are exactly mappings induced by object-attribute data with fuzzy attributes. The effect of a parameterized reduction of the number of clusters from object-attribute data is demonstrated by examples. We introduce (fuzzy) Galois connections with hedges. Fuzzy Galois connections are basic structures behind so-called formal concept analysis of data with fuzzy attributes. Introducing hedges to Galois connections means introducing two parameters. The parameters influence the size of the set of all the fixpoints of a Galois connection. In the sense of formal concept analysis, the fixpoints, called formal concepts, are just the clusters extracted from data. The role of hedges is thus to control the number of extracted clusters. Stronger hedges lead to less clusters. We present definition, examples, and basic properties of Galois connections with hedges. In addition to that, we provide their axiomatization: Galois connections with hedges are exactly mappings induced by object-attribute data with fuzzy attributes. The effect of a parameterized reduction of the number of clusters from object-attribute data is demonstrated by examples.
dcterms:title
Galois connections with hedges Galois connections with hedges
skos:prefLabel
Galois connections with hedges Galois connections with hedges
skos:notation
RIV/61989592:15310/05:00002092!RIV10-MSM-15310___
n4:aktivita
n8:Z
n4:aktivity
Z(MSM6198959214)
n4:dodaniDat
n6:2010
n4:domaciTvurceVysledku
n14:1236784 n14:9623264
n4:druhVysledku
n9:D
n4:duvernostUdaju
n7:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
522402
n4:idVysledku
RIV/61989592:15310/05:00002092
n4:jazykVysledku
n11:eng
n4:klicovaSlova
Galois connections; hedges
n4:klicoveSlovo
n5:hedges n5:Galois%20connections
n4:kontrolniKodProRIV
[2A86D1C2F643]
n4:mistoVydani
Heidelberg
n4:nazevZdroje
Proceedings of IFSA 2005 Wolrld Congress
n4:obor
n20:BD
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:rokUplatneniVysledku
n6:2005
n4:tvurceVysledku
Bělohlávek, Radim Vychodil, Vilém Funioková, Táňa
n4:zamer
n18:MSM6198959214
s:numberOfPages
1328
n13:hasPublisher
Springer-Verlag
n17:isbn
7-302-11377-7
n15:organizacniJednotka
15310