Title :
On the completion of qualitative possibility measures
Author :
Yager, Ronald R.
Author_Institution :
Machine Intelligence Inst., Iona Coll., New Rochelle, NY, USA
fDate :
8/1/1993 12:00:00 AM
Abstract :
A relational description of a possibility introduced by D. Dubois and H. Prade in their 1988 book, called a qualitative possibility measure, is discussed. Among the requirements of these kinds of relationships is that they be complete. The focus is on the issue of completing these relationships. A measure associated with weak orderings, called buoyancy, is introduced. The principle of maximal buoyancy is suggested as a means for completion. The connection between the principle of maximal buoyancy and the principle of minimal specificity is shown. A special family of buoyancy measures, called BADD buoyancies, is also introduced that have the properties of entropy measures when the aggregates are restricted to be a probability distribution
Keywords :
fuzzy logic; fuzzy set theory; inference mechanisms; uncertainty handling; BADD buoyancies; completion; maximal buoyancy; minimal specificity; probability distribution; qualitative possibility measures; weak orderings; Atomic measurements; Boolean algebra; Entropy; Helium; Machine intelligence; Possibility theory; Probability distribution;
Journal_Title :
Fuzzy Systems, IEEE Transactions on