Generalized product

Salvatore Greco, Radko Mesiar, Fabio Rindone

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    Abstract

    Aggregation functions on [0,1] with annihilator 0 can be seen as a generalized product on [0,1]. We study the generalized product on the bipolar scale [–1,1], stressing the axiomatic point of view. Based on newly introduced bipolar properties, such as the bipolar increasingness, bipolar unit element, bipolar idempotent element, several kinds of generalized bipolar product are introduced and studied. A special stress is put on bipolar semicopulas, bipolar quasi-copulas and bipolar copulas.
    Original languageEnglish
    Title of host publicationInformation Processing and Management of Uncertainty in Knowledge-Based Systems
    Subtitle of host publication15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III
    Place of PublicationSwitzerland
    PublisherSpringer
    Pages289-295
    Volume444
    ISBN (Print)978-3-319-08851-8
    DOIs
    Publication statusPublished - Jul 2014

    Publication series

    NameInformation Processing and Management of Uncertainty in Knowledge-Based Systems
    Volume444
    ISSN (Print)1865-0929
    ISSN (Electronic)1865-0937

    Keywords

    • Aggregation function
    • bipolar copula
    • bipolar scale
    • bipolar semicopula
    • symmetric minimum

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