Galoisova korespondence s omezením

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00002092" target="_blank" >RIV/61989592:15310/05:00002092 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Galois connections with hedges

Popis výsledku v původním jazyce

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 numberof 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.

Název v anglickém jazyce

Galois connections with hedges

Popis výsledku anglicky

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 numberof 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.

Druh

D - Stať ve sborníku

CEP obor

BD - Teorie informace

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2005

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of IFSA 2005 Wolrld Congress

ISBN

7-302-11377-7

ISSN

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e-ISSN

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Počet stran výsledku

1328

Strana od-do

1250-1255

Název nakladatele

Springer

Místo vydání

Heidelberg

Místo konání akce

Beijing, China

Datum konání akce

1. 1. 2005

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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