Partial Convergence and Continuity of Lattice-Valued Possibilistic Measures
Result description
The formerly introduced notion of continuity from above (upper continuity) for lattice-valued possibilistic measures has been proved to be a rather strong condition when imposed as demand on such a measure. Hence, our aim will be to introduce some versions of this upper continuity weakened in the sense that the conditions imposed to the whole definition domain of the possibilistic measure in question will be restricted just to certain subdomains. The resulting notion of partial upper convergence and continuity of lattice-valued possibilistic measures will be analyzed in more detail and some results will be introduced and proved.
Keywords
partially ordered set(complete) latticeset functionlattice-valued possibilistic (possibility) measureconvergence and continuity from below (lower convergence and continuity)convergence and continuity from above (upper convergence and continuity)
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Partial Convergence and Continuity of Lattice-Valued Possibilistic Measures
Original language description
The formerly introduced notion of continuity from above (upper continuity) for lattice-valued possibilistic measures has been proved to be a rather strong condition when imposed as demand on such a measure. Hence, our aim will be to introduce some versions of this upper continuity weakened in the sense that the conditions imposed to the whole definition domain of the possibilistic measure in question will be restricted just to certain subdomains. The resulting notion of partial upper convergence and continuity of lattice-valued possibilistic measures will be analyzed in more detail and some results will be introduced and proved.
Czech name
Parciální konvergence a spojitost posibilistických měr s hodnotami ve svazu
Czech description
Dříve zavedený pojem spojitosti shora pro posibilistické míry s hodnotami ve svazu (lattice) se ukazuje jako příliš silný a omezující, pokud je na takové míry vložen jako podmínka. Proto jsou navrženy a vzájemně porovnávány některé alternativní slabší definice spojitosti shora pro zmíněné posibilistické míry a jsou uvedeny a dokázány výsledky popisující vlastnosti jednotlivých slabších variant.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
IAA100300503: Mathematical foundation of inference and decision under uncertainty
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computing and Informatics
ISSN
1335-9150
e-ISSN
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Volume of the periodical
27
Issue of the periodical within the volume
3
Country of publishing house
SK - SLOVAKIA
Number of pages
17
Pages from-to
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UT code for WoS article
000257411500001
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2008