Erich Klement, Radko Mesiar,
"On the expected values of fuzzy events"
, in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 23 Suppl. 1, Seite(n) 57-74, 2015
On the expected values of fuzzy events
Sprache des Titels:
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).
Sprache der Kurzfassung:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems