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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

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

Result continuities

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

  • 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

  • UT code for WoS article

    000262087000004

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2008