About: I-Fuzzy equivalence relations and I-fuzzy partitions

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Relace T-fuzzy ekvivalence je binární fuzzy relace na množině X, která je reflexivní, symetrická a T-tranzitivní pro t-normu T. V práci jsme zavedli tzv. I-transitivitu, související s C-tranzitivitou, kde I je implikátor. Ukázali jsme, že zatím co každá I-fuzzy relace ekvivalencí je i C-fuzzy relace ekvivalencí, existuje C-fuzzy relace ekvivalencí, která není I-fuzzy relace ekvivalencí a tedy tyto dva přístupy nejsou ekvivalentní. (cs) A T-fuzzy equivalence relation is a fuzzy binary relation on a set X which is reflexive, symmetric and T-transitive for a t-norm T. In this work, we eploy a related form of C-transitivity, viz., I-transitivity, where I is an implicator. We show that although every I-fuzzy equivalence relation can be shown to be a C-fuzzy equivalence relation, there exist C-fuzzy equivalence relations that are not I-fuzzy equivalence relations and hence these concepts are not equivalent. A T-fuzzy equivalence relation is a fuzzy binary relation on a set X which is reflexive, symmetric and T-transitive for a t-norm T. In this work, we eploy a related form of C-transitivity, viz., I-transitivity, where I is an implicator. We show that although every I-fuzzy equivalence relation can be shown to be a C-fuzzy equivalence relation, there exist C-fuzzy equivalence relations that are not I-fuzzy equivalence relations and hence these concepts are not equivalent. (en)
Title	I-Fuzzy equivalence relations and I-fuzzy partitions I-Fuzzy equivalence relations and I-fuzzy partitions (en) I-Fuzzy relácie ekvivalencie a I-Fuzzy rozklady (cs)
skos:prefLabel	I-Fuzzy equivalence relations and I-fuzzy partitions I-Fuzzy equivalence relations and I-fuzzy partitions (en) I-Fuzzy relácie ekvivalencie a I-Fuzzy rozklady (cs)
skos:notation	RIV/67985556:_____/09:00322890!RIV09-GA0-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA402/08/0618), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Mesiar, Radko
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	318455
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/09:00322890
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Conjunctor; Fuzzy equivalence relation; Fuzzy partition; Implicator; Semi-copula (en)
http://linked.open.../riv/klicoveSlovo	Semi-copula Fuzzy partition Conjunctor Fuzzy equivalence relation Implicator
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[9083E9F9CFD1]
http://linked.open...i/riv/nazevZdroje	Information Sciences
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Size and value of information in the optimization over incomplete data
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	179
http://linked.open...iv/tvurceVysledku	Mesiar, Radko Jayaram, B.
http://linked.open...ain/vavai/riv/wos	000264567500006
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0020-0255
number of pages	20 (xsd:int)
is http://linked.open...avai/riv/vysledek of	I-Fuzzy equivalence relations and I-fuzzy partitions I-Fuzzy equivalence relations and I-fuzzy partitions I-Fuzzy equivalence relations and I-fuzzy partitions I-Fuzzy equivalence relations and I-fuzzy partitions

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