Conditional beliefs in a bipolar framework

Authors:
Jonathan Lawry;Trevor Martin
Affiliations:
Department of Engineering Mathematics, University of Bristol, Bristol, UK;Department of Engineering Mathematics, University of Bristol, Bristol, UK
Venue:
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2013

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Abstract

A framework for quantifying lower and upper bipolar belief is introduced, which incorporates aspects of stochastic and of semantic uncertainty as well as an indeterministic truth-model allowing for inherent linguistic vagueness at the propositional level. This is then extended to include lower and upper measures of conditional belief given information in the form of lower and upper truth-valuations. The properties of these measures are explored and their relationship with conditional belief in other uncertainty theories is highlighted.