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rdf:type
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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.
- 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. (en)
- 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. (cs)
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Title
| - Extensionality in Graded Properties of Fuzzy Relations
- Extensionality in Graded Properties of Fuzzy Relations (en)
- Extenzionalita u stupňovaných vlastností fuzzy relací (cs)
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skos:prefLabel
| - Extensionality in Graded Properties of Fuzzy Relations
- Extensionality in Graded Properties of Fuzzy Relations (en)
- Extenzionalita u stupňovaných vlastností fuzzy relací (cs)
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skos:notation
| - RIV/67985807:_____/06:00039688!RIV07-AV0-67985807
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(1ET100300517), Z(AV0Z10300504)
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985807:_____/06:00039688
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - fuzzy relations; extensionality; similarity; graded properties (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
| - Information Processing and Management of Uncertainty in Knowledge-Based Systems
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
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http://linked.open...vavai/riv/typAkce
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http://linked.open.../riv/zahajeniAkce
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http://linked.open...n/vavai/riv/zamer
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number of pages
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http://purl.org/ne...btex#hasPublisher
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https://schema.org/isbn
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is http://linked.open...avai/riv/vysledek
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