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Description
  • Partial lattice-valued fuzzy and possibilistic measures and the inner and outer measures induced by them are introduced and investigated. Using the classical idea due to Lebesgue, these measures can be uniquely and conservatively extended to those subsets of the basic space under consideration, for which their values of inner and outer measures are identical. Weakening this idea, we arrive at almost - measurable sets defined as those, for which a particular lattice-valued distance or difference between their inner and outer measures does not exceed a fixed threshold value taken from the lattice under consideration.
  • Partial lattice-valued fuzzy and possibilistic measures and the inner and outer measures induced by them are introduced and investigated. Using the classical idea due to Lebesgue, these measures can be uniquely and conservatively extended to those subsets of the basic space under consideration, for which their values of inner and outer measures are identical. Weakening this idea, we arrive at almost - measurable sets defined as those, for which a particular lattice-valued distance or difference between their inner and outer measures does not exceed a fixed threshold value taken from the lattice under consideration. (en)
  • Jsou zavedeny a vyšetřovány parciální fuzzy a posibilistické míry s hodnotami ve svazu a jimi indukované vnitřní a vnější míry. Použitím klasického Lebesgueova postupu je možno tyto míry jednoznačně a konzervativně rozšířit na ty podmnožiny uvažovaného základního prostoru, pro které jsou hodnoty jejich vnitřních a vnějších měr totožné. Oslabením tohoto požadavku dojdeme ke skoro-měřitelným množinám definovaným jako ty, pro které jistým způsobem hodnotou v uvažovaném svazu vyjádřená vzdálenost mezi hodnotami jejich vnitřní a vnější míry nepřekračuje danou prahovou hodnotu z uvažovaného svazu. (cs)
Title
  • Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures
  • Zeslabení měřitelnosti v Lebesgueově smyslu pro posibilistické míry s hodnotami ve svazu (cs)
  • Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures (en)
skos:prefLabel
  • Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures
  • Zeslabení měřitelnosti v Lebesgueově smyslu pro posibilistické míry s hodnotami ve svazu (cs)
  • Weakening Lebesgue Measurability for Lattice-Valued Possibilistic Measures (en)
skos:notation
  • RIV/67985807:_____/04:00103278!RIV/2005/AV0/A06005/N
http://linked.open.../vavai/riv/strany
  • 359;366
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(OC 274.001), Z(AV0Z1030915)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 595045
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/04:00103278
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • posibilistic measures; complete lattices; sets measurable in the Lebesgue sense; almost measurable sets; classes of almost measurable sets (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [1C11B71FAC65]
http://linked.open...v/mistoKonaniAkce
  • Perugia
http://linked.open...i/riv/mistoVydani
  • Roma
http://linked.open...i/riv/nazevZdroje
  • Information Processing and Management of Uncertainty in Knowledge-Based Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kramosil, Ivan
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Editrice Universita La Sapienza
https://schema.org/isbn
  • 88-87242-54-2
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