Axiomatic treatment of possibilistic independence

The clarification of the concepts of independence, marginalization, and combination of modularized information is one of the major topics concerning the efficient treatment of imperfect data in complex domains of knowledge. Confining to the uncertainty calculus of possibility theory, we consider a syntactic (based on a set of axioms) as well as a semantic approach (in a random set framework) to appropriate definitions of possibilistic independence. It turns out that well-known, but also new proposals for the concept of possibilistic independence can be justified.