Belief functions are generalized to formulas in Lukasiewicz logic. It is shown that they generalize probabilities on formulas (so-called states) and that they are completely monotone mappings with respect to the lattice operations.
Belief functions are generalized to formulas in Lukasiewicz logic. It is shown that they generalize probabilities on formulas (so-called states) and that they are completely monotone mappings with respect to the lattice operations. (en)