Can qualitative utility criteria obey the sure thing principle

Monotonic utilities are qualitative decision criteria that have been proposed for dealing with problems where preferences and uncertainty cannot be quantified. However, these criteria suffer from a double drawback: first, they may suffer from a lack of decisiveness power. Second, they do not fully satisfy the Sure-Thing Principle (STP), which is widely accepted as a fundamental property of decision criteria. We try to cope with these two problems, proposing refinements of these decision criteria that obey the Sure Thing Principle. These procedures are derived from the comparison of the monotonic utilities of acts, every state in which both acts give identical results being neglected.