About: Atoms of weakly null-additive monotone measures and integrals

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Atoms of weakly null-additive monotone measures and integrals Goto Sponge NotDistinct Permalink

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

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by Pap. The calculation of the Sugeno integral and the Choquet integral over an atom is also presented, respectively. Similar results for recently introduced universal integral are also given. Following these results, it is shown that the Sugeno integral and the Choquet integral over an atom of monotone measure is maxitive linear and standard linear, respectively. Convergence theorems for the Sugeno integral and the Choquet integral over an atom of a monotone measure are also shown. In this paper, we prove some properties of atoms of weakly null-additive monotone measures. By using the regularity and weak null-additivity, a sin-gleton characterization of atoms of monotone measures on a metric space is shown. It is a generalization of previous results obtained by Pap. The calculation of the Sugeno integral and the Choquet integral over an atom is also presented, respectively. Similar results for recently introduced universal integral are also given. Following these results, it is shown that the Sugeno integral and the Choquet integral over an atom of monotone measure is maxitive linear and standard linear, respectively. Convergence theorems for the Sugeno integral and the Choquet integral over an atom of a monotone measure are also shown. (en)
Title	Atoms of weakly null-additive monotone measures and integrals Atoms of weakly null-additive monotone measures and integrals (en)
skos:prefLabel	Atoms of weakly null-additive monotone measures and integrals Atoms of weakly null-additive monotone measures and integrals (en)
skos:notation	RIV/67985556:_____/14:00432227!RIV15-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP402/11/0378)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
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	4459
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/14:00432227
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	atom of a measure; weak null-additivty; monotone measure (en)
http://linked.open.../riv/klicoveSlovo	monotone measure atom of a measure weak null-additivty
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[57CF4D9F6028]
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	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Aggregation of knowledge and expectations in the models of mathematical economics
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	257
http://linked.open...iv/tvurceVysledku	Li, J. Mesiar, Radko Pap, E.
http://linked.open...ain/vavai/riv/wos	000329003200013
issn	0020-0255
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ins.2013.09.013

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software