Extensions of Partial Lattice-Valued Possibilistic Measures from Nested Domains
Result description
We investigate a partial non-numerical possibilistic measure taking its values in a complete lattice and defined on a nested system of subsets of the universe under consideration. Our aim is to extend this measure conservatively to the power-set of all systems of this universe using the same idea as that when introducing outer measures. Also analyzed is the case when two lattice-valued possibilistic measures on the same universe are combined into one possibilistic measure on the power-set in question.
Keywords
complete latticepossibilistic measurelattice-valued possibilistic spacenested system of setsconservative extensionCartesian product of possibilistic spaces
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
Extensions of Partial Lattice-Valued Possibilistic Measures from Nested Domains
Original language description
We investigate a partial non-numerical possibilistic measure taking its values in a complete lattice and defined on a nested system of subsets of the universe under consideration. Our aim is to extend this measure conservatively to the power-set of all systems of this universe using the same idea as that when introducing outer measures. Also analyzed is the case when two lattice-valued possibilistic measures on the same universe are combined into one possibilistic measure on the power-set in question.
Czech name
Parciální posibilistické míry s hodnotami ve svazu a jejich rozšíření z inklusí uspořádaných definičních oborů.
Czech description
Vyšetřujeme parciální nenumerickou posibilistickou míru s hodnotami v úplném svazu a definovanou na systému vzájemně vnořených podmnožin základního prostoru. Tuto míru chceme konzervativně rozšířit na systém všech podmnožin tohoto prostoru stejným postupem, jakým se definují vnější míry. Je také analzyován případ dvou parciálně posibilistických měr jedné posibilistické míry nad potenčním systémem uvažovaného prostoru.
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
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
ISSN
0218-4885
e-ISSN
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Volume of the periodical
14
Issue of the periodical within the volume
2
Country of publishing house
SG - SINGAPORE
Number of pages
23
Pages from-to
175-197
UT code for WoS article
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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
2006