Giulianella Coletti, Davide Petturiti

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Bayesian-like inference, complete disintegrability and complete conglomerability in coherent conditional possibility theory

Abstract

In this paper we consider Bayesian-like inference processes involving coherent $T$-conditional possibilities assessed on infinite sets of conditional events. For this, a characterization of coherent assessments of possibilistic prior and likelihood is carried on. Since we are working in a finitely maxitive setting, the notions of complete disintegrability and of complete conglomerability are also studied and their relevance in the infinite version of the possibilistic Bayes formula is highlighted.

Keywords

Complete disintegrability, complete conglomerability, coherence, T-conditional possibility, possibilistic likelihood function, finite maxitivity

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E-mail addresses

Giulianella Coletti		coletti@dmi.unipg.it
Davide Petturiti		davide.petturiti@dmi.unipg.it