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On the Expected Value of Fuzzy Events

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    0452568 - ÚTIA 2016 RIV SG eng J - Journal Article
    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. E-ISSN 1793-6411
    Institutional support: RVO:67985556
    Keywords : expected value * fuzzy event * Choquet integral
    Subject RIV: BA - General Mathematics
    Impact factor: 1.000, year: 2015
    http://library.utia.cas.cz/separaty/2015/E/mesiar-0452568.pdf

    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).
    Permanent Link: http://hdl.handle.net/11104/0253725

     
     
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