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  • A possibilistic marginal problem is introduced in a way analogous to probabilistic framework, to address the question of whether or not a common extension exists for a given set of marginal distributions. Similarities and differences between possibilistic and probabilistic marginal problems will be demonstrated, concerning necessary condition and sets of all solutions. The operators of composition will be recalled and we will show how to use them for finding a $T$-product extension. Finally, a necessary and sufficient condition for the existence of a solution will be presented.
  • A possibilistic marginal problem is introduced in a way analogous to probabilistic framework, to address the question of whether or not a common extension exists for a given set of marginal distributions. Similarities and differences between possibilistic and probabilistic marginal problems will be demonstrated, concerning necessary condition and sets of all solutions. The operators of composition will be recalled and we will show how to use them for finding a $T$-product extension. Finally, a necessary and sufficient condition for the existence of a solution will be presented. (en)
  • Definujeme posibilistický marginální problém obdobným způsobem jako je definován v teorii pravděpodobnosti jako otázku existence společné extenze dané množiny marginálních distribucí. Ukážeme podobnosti obou problémů i rozdíly mezi nimi ohledně nutné podmínky pro existenci řešení a množin všech řešení. Připomeneme definici operátorů skládání a ukážeme, jak je použít pro nalezení T-součinových extenzí. Nakonec uvedeme nutnou a postačující podmínku pro existenci řešení tohoto problému. (cs)
Title
  • On possibilistic marginal problem
  • On possibilistic marginal problem (en)
  • Posibilistický marginální problém (cs)
skos:prefLabel
  • On possibilistic marginal problem
  • On possibilistic marginal problem (en)
  • Posibilistický marginální problém (cs)
skos:notation
  • RIV/67985556:_____/07:00098658!RIV08-AV0-67985556
http://linked.open.../vavai/riv/strany
  • 657;674
http://linked.open...avai/riv/aktivita
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  • P(2C06019), P(IAA100750603), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 5
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http://linked.open...aciTvurceVysledku
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  • 439271
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  • RIV/67985556:_____/07:00098658
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  • Marginal problem; possibility distribution; triangular norm; conditioning; conditional independence; extension (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [E4EB648D381C]
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  • Kybernetika
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 43
http://linked.open...iv/tvurceVysledku
  • Vejnarová, Jiřina
http://linked.open...n/vavai/riv/zamer
issn
  • 0023-5954
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