Fusion of imprecise, uncertain, and conflicting beliefs with DSm rules of combination

Details Fusion of imprecise, uncertain, and conflicting beliefs with DSm rules of combination Fusion of imprecise, uncertain, and conflicting beliefs with DSm rules of combination

2004-04-17

arxiv.org/abs/math/0404305v1

Presented at University Sekolah Tinggi Informatika & Komputer Indonesia, Malang, Indonesia, May 20, 2006, and University Krist

Mathematics

General Mathematics

13 pages, 11 tables

Scientific paper

In this paper one studies, within Dezert-Smarandache Theory (DSmT), the case when the sources of information provide imprecise belief functions/masses, and we generalize the DSm rules of combination (classic or hybrid rules) from scalar fusion to sub-unitary interval fusion and, more general, to any set of sub-unitary interval fusion. This work generalizes previous works available in literature which appear limited to IBS (Interval-valued belief structures) in the Transferable Belief Model framework. Numerical didactic examples of these new DSm fusion rules for dealing with imprecise information are also presented.

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