The bipolar universal integral

Salvatore Greco, R. Mesiar, F. Rindone

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

    Abstract

    The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the bipolar universal integral generalizing the Choquet, Shilkret and Sugeno bipolar integrals. To complete the generalization we also provide the characterization of the bipolar universal integral with respect to a level dependent bi-capacity.
    Original languageEnglish
    Title of host publicationAdvances on computational intelligence: 14th international conference on information processing and management of uncertainty in knowledge-based systems, proceedings, part 3
    EditorsSalvatore Greco, B. Bouchon-Meunier, G. Coletti, M. Fedrizzi, B. Matarazzo, R. Yager
    Place of PublicationBerlin
    PublisherSpringer
    Pages360-369
    Number of pages10
    Volume299
    Edition299
    ISBN (Print)9783642317170
    DOIs
    Publication statusPublished - 2012

    Publication series

    NameCommunications in computer and information science
    PublisherSpringer
    Number299
    ISSN (Print)1865-0929

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