On interpretation of possibility distributions as sets of dominated distribution functions

Conference Paper (international conference)

Kroupa Tomáš

serial: Proceedings of the Tenth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, p. 367-372

action: IPMU 2004 /10./, (Perugia, IT, 04.07.2004-09.07.2004)

research: CEZ:AV0Z1075907

keywords: possibility theory, copula, distribution function

abstract (eng):

Possibility distribution is assigned the set of dominated distribution functions defined on the same domain as the possibility distribution. The main purpose of the paper is to demonstrate that this interpretation enables to completely characterize any T-product possibility distribution by means of (sub)copulas and marginal distribution functions which are dominated by the respective marginal possibilities.

abstract (cze):

Distribuce possibility mohou být chápány jako množiny dominovaných distribučních funkcí. Článek podává úplnou chrakterizaci součinových distribuci possibility vzhledem k přípustným operacím s distribučními funkcemi

Cosati: 120

RIV: BA