Combining Uncertain and Paradoxical Evidences for DSm Hybrid Models

Details Combining Uncertain and Paradoxical Evidences for DSm Hybrid Models Combining Uncertain and Paradoxical Evidences for DSm Hybrid Models

2003-10-09

arxiv.org/abs/math/0310135v2

Presented as an extended version to the Sensor Fusion Europe Conference, Post-Conference Workshop, Marcus Evans Co., November

Mathematics

Dynamical Systems

33 pages, many tables and graphs, computer programming

Scientific paper

This paper presents a general method for combining uncertain and paradoxical source of evidences for a wide class of fusion problems. From the foundations of the Dezert-Smarandache Theory (DSmT) we show how the DSm rule of combination can be adapted to take into account all possible integrity constraints (if any) of the problem under consideration due to the true nature of elements/concepts involved into it. We show how the Shafer's model can be considered as a specific DSm hybrid model and be easily handled by our approach and a new efficient rule of combination different from the Dempster's rule is obtained. Several simple examples are also provided to show the efficiency and the generality of the approach proposed in this work.

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