Enrique Miranda, Ignacio Montes

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Coherent updating of 2-monotone previsions

Abstract

The conditions under which a 2-monotone lower prevision can be uniquely updated to a conditional lower prevision are determined. Then a number of particular cases are investigated: completely monotone lower previsions, for which equivalent conditions in terms of the focal elements of the associated belief function are established; random sets, for which some conditions in terms of the measurable selections can be given; and minitive lower previsions, which are shown to correspond to the particular case of vacuous lower previsions.

Keywords

Coherent lower previsions, n-monotonicity, belief functions, minitive measures, natural extension, regular extension

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E-mail addresses

Enrique Miranda		mirandaenrique@uniovi.es
Ignacio Montes		imontes@uniovi.es