Institute of Information Theory and Automation

Publication details

On the Expected Value of Fuzzy Events

Journal Article

Klement E.P., Mesiar Radko

serial: International Journal of Uncertainty Fuzziness and Knowledge-Based Systems vol.23, p. 57-74

keywords: expected value, fuzzy event, Choquet integral

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abstract (eng):

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).


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Last modification: 21.12.2012
Institute of Information Theory and Automation