The Combinatorial Basis of Uniformly Bounded Discrete Random Set Theory
Berenstein, Carlos A.
Sidiropoulos, N D
Conference : The 29th Annual Conference on Information Sciences and Systems pp. 463-467
Date: March 22 - March 24, 1995
We provide a purely combinatorial view of the essential structure of uniformly bounded DRS theory without any reference to discrete probability and highlight the two fundamental functionals arising out of this exposition. The key tool is Moebius inversion. We conclude that the study of uniformly bounded DRS theory is the study of Incidence functions on Boolean algebras of finite rank. Some useful results arise as a by-product of this investigation.