This HTML5 document contains 41 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n9http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F61988987%3A17610%2F14%3AA14012TM%21RIV14-MSM-17610___/
dctermshttp://purl.org/dc/terms/
n15http://localhost/temp/predkladatel/
n18http://linked.opendata.cz/resource/domain/vavai/projekt/
n12http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n7http://linked.opendata.cz/resource/domain/vavai/subjekt/
n6http://linked.opendata.cz/ontology/domain/vavai/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n13http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n5http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n17http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n14http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n16http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n4http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F61988987%3A17610%2F14%3AA14012TM%21RIV14-MSM-17610___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with respect to bijections between different universes of discourse (isomorphism invariance). In other words, fuzzy quantifiers with these properties are sensitive only to the cardinality of subsets of the universe of discourse, and not to the individual nature of the elements of these subsets. We characterize these properties by means of the corresponding properties of functionals used in the definition of the fuzzy quantifiers. We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with respect to bijections between different universes of discourse (isomorphism invariance). In other words, fuzzy quantifiers with these properties are sensitive only to the cardinality of subsets of the universe of discourse, and not to the individual nature of the elements of these subsets. We characterize these properties by means of the corresponding properties of functionals used in the definition of the fuzzy quantifiers.
dcterms:title
Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances
skos:prefLabel
Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances
skos:notation
RIV/61988987:17610/14:A14012TM!RIV14-MSM-17610___
n6:predkladatel
n7:orjk%3A17610
n3:aktivita
n17:P
n3:aktivity
P(ED1.1.00/02.0070)
n3:cisloPeriodika
1 May 2014
n3:dodaniDat
n4:2014
n3:domaciTvurceVysledku
n12:1733362 n12:1645951
n3:druhVysledku
n19:J
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
51572
n3:idVysledku
RIV/61988987:17610/14:A14012TM
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Fuzzy quantifier; Fuzzy logic; Permutation invariance; Fuzzy measure
n3:klicoveSlovo
n13:Fuzzy%20logic n13:Permutation%20invariance n13:Fuzzy%20quantifier n13:Fuzzy%20measure
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[B625B5BDF699]
n3:nazevZdroje
FUZZY SET SYST
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n18:ED1.1.00%2F02.0070
n3:rokUplatneniVysledku
n4:2014
n3:svazekPeriodika
242
n3:tvurceVysledku
Holčapek, Michal Dvořák, Antonín
s:issn
0165-0114
s:numberOfPages
33
n15:organizacniJednotka
17610