Nonmonotonicity and Compatibility Relations in Belief Structures

: We concern ourselves with the situation Here we investigate an extension of the basic concept of in which we use the Dempster-Shafer belief structure to a compatibility relation to allow for the representation provide a representation of a random variables in which of non-monotonic knowledge in the framework of the our knowledge of the probability distribution is D-S theory.. imprecise. We discuss the role of compatibility relations as a means of enabling inference about one 2. Dempster-Shafer Structure and variable, the secondary variable, based upon knowledge Information about another variable, the primary. We define monotonicity as a condition in which an increase in A D-S belief structure [2] on a set X is a mapping information about the primary variable in an inference m: 2x [0, 1], called a basic probability assignment should not result in a decrease in information about the (bpa), such secondary variable. We show what are the conditions (1) AX m(A) = 1required of a compatibil...

• Type: Journal
• Year: 2002
• Where: AMAI
• Authors: Ronald R. Yager
• Keywords: AMAI 2002, Artificial Intelligence, Belief Structure, Compatibility Relation, Dempster-Shafer Belief Structure