Lattice-valued Possibilistic Entropy Measure
Result description
We propose a lattice-valued entropy measure H ascribing to each lattice-valued possibilistic distribution p the value H(p) defined as the expected value (in the sense of lattice-valued Sugeno integral with infimum in the role of t-norm) of certain nonincreasing function of the values ascribed to the elements of the basic space by the possibilistic distribution in question. For completely distributive complete lattices, the entropy value ascribed to possibilistically independent product of a finite number of lattice-valued possibilistic distributions is defined by the supremum of the entropy values ascribed to particular distributions.
Keywords
complete latticelattice-valued possibilistic distributionentropy measureproduct of possibilistic distribution
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
Lattice-valued Possibilistic Entropy Measure
Original language description
We propose a lattice-valued entropy measure H ascribing to each lattice-valued possibilistic distribution p the value H(p) defined as the expected value (in the sense of lattice-valued Sugeno integral with infimum in the role of t-norm) of certain nonincreasing function of the values ascribed to the elements of the basic space by the possibilistic distribution in question. For completely distributive complete lattices, the entropy value ascribed to possibilistically independent product of a finite number of lattice-valued possibilistic distributions is defined by the supremum of the entropy values ascribed to particular distributions.
Czech name
Posibilistická entropická míra s hodnotami ve svazu
Czech description
Je navržena entropická míra H s hodnotami ve svazu přiřazující každé posibilistické distribuci p s hodnotami ve svazu hodnotu H(p) definovanou jako střední hodnota jisté nerostoucí funkce hodnot přiřazených prvkům základního prostoru danou posibilistickou distribucí. Pro úplně distributivní úplné svazy je hodnota entropie přiřazená posibilisticky nezávislému součinu konečného počtu posibilistických distribucí s hodnotami ve svazu dána supremem hodnot entropie pro jednotlivé distribuce.
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
International Journal of Uncertainty Fuzziness and Knowledge-Based Systems
ISSN
0218-4885
e-ISSN
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Volume of the periodical
16
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
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UT code for WoS article
000262087000004
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