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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F03%3A03091322%21RIV%2F2004%2FGA0%2F212304%2FN
rdf:type
skos:Concept n19:Vysledek
dcterms:description
As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They made the first steps towards a characterization of monotonic real-valued T-measures for a Frank triangular norm T. Later on, Mesiar and the authors of this paper found independently two generalizations, one for vector-valued T-measures with respect to Frank t-norms (in particular for nonmonotonic ones), the other for monotonic real-valued T-measures with respect to general strict t-norms. Here we present a common generalization-a characterization of nonmonotonic T-measures with respect to an arbitrary strict t-norm. Moreover, we prove this for vector-valued T-measures. Using their characterization, we generalize Ljapunov Theorem to this context. As a natural generalization of a measure space, Butnariu and Klement introduced T-tribes of fuzzy sets with T-measures. They made the first steps towards a characterization of monotonic real-valued T-measures for a Frank triangular norm T. Later on, Mesiar and the authors of this paper found independently two generalizations, one for vector-valued T-measures with respect to Frank t-norms (in particular for nonmonotonic ones), the other for monotonic real-valued T-measures with respect to general strict t-norms. Here we present a common generalization-a characterization of nonmonotonic T-measures with respect to an arbitrary strict t-norm. Moreover, we prove this for vector-valued T-measures. Using their characterization, we generalize Ljapunov Theorem to this context.
dcterms:title
Characterization of T-measures Characterization of T-measures
skos:prefLabel
Characterization of T-measures Characterization of T-measures
skos:notation
RIV/68407700:21230/03:03091322!RIV/2004/GA0/212304/N
n3:strany
44 ; 50
n3:aktivita
n12:Z n12:P
n3:aktivity
P(GA201/02/1540), Z(MSM 212300013)
n3:cisloPeriodika
1
n3:dodaniDat
n10:2004
n3:domaciTvurceVysledku
n6:5972558
n3:druhVysledku
n14:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
600965
n3:idVysledku
RIV/68407700:21230/03:03091322
n3:jazykVysledku
n17:eng
n3:klicovaSlova
Ljapunov Theorem;T-measure;fuzzy measure;fuzzy set;triangular norm;tribe
n3:klicoveSlovo
n9:Ljapunov%20Theorem n9:fuzzy%20measure n9:T-measure n9:triangular%20norm n9:fuzzy%20set n9:tribe
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[68D86F64B848]
n3:nazevZdroje
Soft Computing
n3:obor
n13:JD
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n4:GA201%2F02%2F1540
n3:rokUplatneniVysledku
n10:2003
n3:svazekPeriodika
8
n3:tvurceVysledku
Navara, Mirko Weber, H. Barbieri, G.
n3:zamer
n16:MSM%20212300013
s:issn
1432-7643
s:numberOfPages
7
n5:organizacniJednotka
21230