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Measure-based aggregation operators

Result description

In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed, generalizing Imaoka's integral based on copulas. Several properties of such aggregation operators are investigated, and the relationship with distinguished classes of aggregation operators is discussed.

Keywords

aggregation operatorfuzzy measureChoquet integral

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Measure-based aggregation operators

  • Original language description

    In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed, generalizing Imaoka's integral based on copulas. Several properties of such aggregation operators are investigated, and the relationship with distinguished classes of aggregation operators is discussed.

  • Czech name

    Agregačné operátory založené na mierach

  • Czech description

    Ako analógiu klasickej pravdepodobnostnej strednej hodnoty založenej na Riemanovom integrále navrhujeme geometrický prístup k agregácii, čím zovšeobecňujeme Imaokov prístup k integrálom založeným na kopulách. Skúmame viaceré vlastnosti takýchto agregačných operátorov, vrátane vzťahov medzi významnými triedami agregačných operátorov

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

    2004

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    27

  • Issue of the periodical within the volume

    142

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    12

  • Pages from-to

    3-14

  • UT code for WoS article

  • 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

2004