Imprecise bipolar belief measures based on partial knowledge from agent dialogues

Abstract

Valuation pairs [6], [5] are proposed as a possible framework for representing assertability conventions applied to sentences from a propositional logic language. This approach is then extended by introducing imprecise valuation pairs to represent partially or imprecisely defined assertability conventions. Allowing for uncertainty then naturally results in lower and upper bipolar belief measures on the sentences of the language. The potential of this extended framework is illustrated by its application to an idealised dialogue between agents, each making assertions and condemnations based on their individual valuation pairs. © 2010 Springer-Verlag Berlin Heidelberg.