On the Normalization of Interval-Based Possibility Distributions

Possibilistic logic is an important framework for representing and reasoning with uncertain and inconsistent pieces of information. Standard possibilistic logic expressions are propositional logic formulas associated with positive real degrees belonging to [0,1]. Recently, a flexible representation of uncertain information, where the weights associated with formulas or possible worlds are in the form of intervals, has been proposed. This paper focuses on the problem of normalization of intervalbased possibility distributions. We provide a natural procedure to normalize a sub-normalized interval-based possibility distribution. This procedure is based on the concept of normalized compatible and standard possibility distributions.