Počet záznamů: 1  

On the Expected Value of Fuzzy Events

  1. 1.
    0452568 - UTIA-B 2016 RIV SG eng J - Článek v odborném periodiku
    Klement, E.P. - Mesiar, Radko
    On the Expected Value of Fuzzy Events.
    International Journal of Uncertainty Fuzziness and Knowledge-Based Systems. Roč. 23, Supplement 1 (2015), s. 57-74. ISSN 0218-4885
    Institucionální podpora: RVO:67985556
    Klíčová slova: expected value * fuzzy event * Choquet integral
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.000, rok: 2015

    Generalizing a first approach by L. A. Zadeh (J. Math. Anal. Appl. 23, 1968), expected values of fuzzy events are studied which are (up to standard boundary conditions) only required to be monotone. They can be seen as an extension of capacities, i.e., monotone set functions satisfying standard boundary conditions. Some of these expected values can be characterized axiomatically, others are based on some distinguished integrals (Choquet, Sugeno, Shilkret, universal, and decomposition integral).
    Trvalý link: http://hdl.handle.net/11104/0253725