About: Characterization of T-measures

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	Characterization of T-measures Characterization of T-measures (en)
skos:prefLabel	Characterization of T-measures Characterization of T-measures (en)
skos:notation	RIV/68407700:21230/03:03091322!RIV/2004/GA0/212304/N
http://linked.open.../vavai/riv/strany	44 ; 50
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/02/1540), Z(MSM 212300013)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Navara, Mirko
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	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	600965
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/03:03091322
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Ljapunov Theorem;T-measure;fuzzy measure;fuzzy set;triangular norm;tribe (en)
http://linked.open.../riv/klicoveSlovo	fuzzy set fuzzy measure triangular norm tribe Ljapunov Theorem T-measure
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[68D86F64B848]
http://linked.open...i/riv/nazevZdroje	Soft Computing
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Many-valued logics for soft computing
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	8
http://linked.open...iv/tvurceVysledku	Navara, Mirko Weber, H. Barbieri, G.
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20212300013
issn	1432-7643
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	21230

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