On the Expected Value of Fuzzy Events

0452568 - ÚTIA 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. E-ISSN 1793-6411
Institucionální podpora: RVO:67985556
Klíčová slova: expected value * fuzzy event * Choquet integral
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.000, rok: 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).
Trvalý link: http://hdl.handle.net/11104/0253725