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Almost-Measurability Relation Induced by Lattice-Valued Partial Possibilistic Measures
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SYSNO ASEP 0103273 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Almost-Measurability Relation Induced by Lattice-Valued Partial Possibilistic Measures Překlad názvu Relace skoro-měřitelnosti indukovaná parciálními posibilistickými mírami s hodnotami ve svazu Tvůrce(i) Kramosil, Ivan (UIVT-O) SAI Zdroj.dok. International Journal of General Systems. - : Taylor & Francis - ISSN 0308-1079
Roč. 33, č. 6 (2004), s. 679-704Poč.str. 26 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova partially ordered set ; complete lattice ; partial lattice-valuied possibilistic measure ; inner measure ; outer measure ; measurability in the Lebesgue sense ; almost-measurability Vědní obor RIV BA - Obecná matematika CEP OC 274.001 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z1030915 - UIVT-O UT WOS 000225491200007 EID SCOPUS 11144298659 DOI 10.1080/0308107042000193543 Anotace Possibilistic measures are a mathematical tool for uncertainty quantification and processing, alternative to standard probability measures. Worth a more detailed investigating are partial possibilistic measures with values in complete lattices. For the sets outside the domain of the partial possibilistic measure in question, we define their inner and outer measure approximating these sets, in the best possible way, by their measurable subsets and coverings. We introduce a lattice-valued metric or distance function and define a set to be almost measurable, if the distance between the value of its inner and outer measure is below a "small" lattice-valued threshold value. A number of results dealing with the notion of lattice-valued almost-measurability and with the classes of almost measurable sets are stated and proved. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2005
Počet záznamů: 1