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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

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

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

    Computing and Informatics

  • ISSN

    1335-9150

  • e-ISSN

  • 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

  • UT code for WoS article

    000257411500001

  • 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