A Relationship Between the Probabilistic and the Possibilistic Logic

Abstract

This paper points out that there exists a relationship between the principle of Maximal Entropy (ME) in probability theory and the principle of minimal Specificity (mS) in possibility theory via consistent transformations on sets of probability and possibility distributions. By using these transformations, the paper investigates the possibilities to apply methods of probabilistic logic for possibility knowledge bases and conversely, reasoning methods of possibilistic logic for probability knowledge bases.