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The Combinatorial Basis of Uniformly Bounded Discrete Random Set Theory

Type: 
Conference PaperInvited and refereed articles in conference proceedings
Authored by:
Sidiropoulos, N D., Baras, John S., Berenstein, Carlos A.
Conference date:
March 22-24, 1995
Conference:
The 29th Annual Conference on Information Sciences and Systems, pp. 463-467
Full Text Paper: 
Abstract: 

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.