Relace skoro-měřitelnosti indukovaná parciálními posibilistickými mírami s hodnotami ve svazu

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F04%3A00103273" target="_blank" >RIV/67985807:_____/04:00103273 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Almost-Mesurability Relation Induced by Lattice-Valued Partial Possibilistic Measures

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Almost-Mesurability Relation Induced by Lattice-Valued Partial Possibilistic Measures

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/OC%20274.001" target="_blank" >OC 274.001: Relační struktury v těžení dat a v teorii objevování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of General Systems

ISSN

0308-1079

e-ISSN

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Svazek periodika

33

Číslo periodika v rámci svazku

-

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

26

Strana od-do

679-704

Kód UT WoS článku

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EID výsledku v databázi Scopus

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