Extensionality in Graded Properties of Fuzzy Relations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F06%3A00039688" target="_blank" >RIV/67985807:_____/06:00039688 - 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
Extensionality in Graded Properties of Fuzzy Relations
Original language description
New definitions of graded reflexivity, symmetry, transitivity, antisymmetry, and functionality of fuzzy relations are proposed which are relative to an indistinguishability relation E on the universe of discourse. It is shown that if considered nongraded(i.e., either fully present or else fully absent), the new definitions reduce to the usual ones under full extensionality of the relation w.r.t. E. However, if graded properties of R (e.g., transitivity to some degree) are taken into account, the new definitions have to be distinguished from the conjunction of the original property and E-extensionality of R. Some arguments and results are given which suggest that the new concepts are well-motivated.
Czech name
Extenzionalita u stupňovaných vlastností fuzzy relací
Czech description
Článek navrhuje nové definice stupňované reflexivity, symetrie, tranzitivity, antisymetrie a funkcionality fuzzy relací, které berou v úvahu relaci nerozlišitelnosti mezi individui. Ukazuje se, že tyto vlastnosti jsou při nestupňovaném přístupu ekvivalentní tradičním vlastnostem spolu s extenzionalitou vůči nerozlišitelnosti, při plné stupňovanosti všech vlastností se však od ní liší a musejí být zkoumány nezávisle.
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1ET100300517" target="_blank" >1ET100300517: Methods for Intelligent Systems and Their Applications in Datamining and Natural Language Processing</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
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems
ISBN
2-84254-112-X
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
1604-6011
Publisher name
Editions EDK
Place of publication
Paris
Event location
Paris
Event date
Jul 2, 2006
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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