Accept & reject statement-based uncertainty models
We develop a framework for modelling and reasoning based on a pair of gamble sets. We translate the framework to one in terms of a pair of partial preference orders. Our framework generalises most frameworks based on a linear utility assumption. Particularly, it generalises the theories of coherent linear and lower previsions. We show the framework's usefulness with a symmetry judgements modelling example.
acceptability preference prevision indifference desirability favourability