31 July 2002 Dempster-Shafer combination rule induced by multivalued mapping
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Based on a multi-valued mapping from a probability space (X,(Omega) ,Rmu) to space S, a probability measure over a class 2s of subsets of S is defined. Then using the product combination rule of multiple information sources, the Dempster-Shafer combination rule is derived. The investigation of the two rules indicates that the Dempster rule and the Dempster-Shafer combination rule are for different spaces. Some problems of the Dempster-Shafer combination rule are interpreted via the product combination rule that is used for multiple independent information sources. A technique to improve the method is proposed. Finally, an error in multi-valued mappings in [20] is pointed out and proved.
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Hongyan Sun, Fatemah Majdi, Mohamad Farooq, Bo Zhang, "Dempster-Shafer combination rule induced by multivalued mapping", Proc. SPIE 4729, Signal Processing, Sensor Fusion, and Target Recognition XI, (31 July 2002); doi: 10.1117/12.477616; https://doi.org/10.1117/12.477616


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