Factor structures and central points by similarity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00005458" target="_blank" >RIV/61989592:15310/08:00005458 - 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
Factor structures and central points by similarity
Original language description
We present a general framework and results on factorization of systems of fuzzy sets by similarity. The result of such factorization can be regarded as a simplified version of the original system in which we deliberately do not distinguish elements whichare highly similar. We assume that the fuzzy sets are fixed points of some closure operator. Examples of such systems are fuzzy concept lattices, fuzzy sets in a given universe, and complete residuated lattices. The similarity relation we consider is ana-cut of a particular fuzzy equivalence relation with a being a similarity threshold supplied by a user which controls the meaning of "highly similar". We present results describing the factorization including an efficient way to compute the factor structure. In addition, we describe a-central points of a given collection of fixed points of a closure operator, i.e. points which are similar to every point in the collection to degree at least a.
Czech name
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Czech description
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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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of International IEEE Conference on Intelligent Systems 2008
ISBN
978-1-4244-1739-1
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
"15-8"-"15-11"
Publisher name
IEEE Computer Society Press
Place of publication
New York
Event location
Varna, Bulgaria
Event date
Sep 6, 2008
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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