Crisply generated fuzzy concept
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F05%3A00002480" target="_blank" >RIV/61989592:15310/05:00002480 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Crisply generated fuzzy concept
Original language description
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 $lrangle{A,B}inconclat{X}{Y}{I}$ is crisply generated if $A=D^down$ (and so $B=D^{downup}$) for some crisp (i.e., ordinary) set $Dsubseteq Y$ of attributes (generator). Considering only crisply generated concepts has two practical consequences. First, the number of crisply generatedformal 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 importantones'' 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 gene
Czech name
Crisp generované fuzzy koncepty
Czech description
Crisp generované fuzzy koncepty ve formální konceptuální analýze
Classification
Type
D - Article in proceedings
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1ET101370417" target="_blank" >1ET101370417: Hierarchical analysis of complex data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
International Conference on Formal Concept Analysis 2005; Lecture Notes in Artificial Intelligence
ISBN
3-540-24525-1
ISSN
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e-ISSN
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Number of pages
16
Pages from-to
268-283
Publisher name
Springer
Place of publication
Heidelberg
Event location
Lens; France
Event date
Jan 1, 2005
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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