31 July 2002 Dempster-Shafer combination rule induced by multivalued mapping
Author Affiliations +
Abstract
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.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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
PROCEEDINGS
10 PAGES


SHARE
RELATED CONTENT

Conjunctive and disjunctive combination rules of evidence
Proceedings of SPIE (August 09 2004)
Fuzzy logic: principles, applications, and perspectives
Proceedings of SPIE (March 01 1991)
Extending the GDE paradigm to physiology
Proceedings of SPIE (March 01 1992)
Unified approach to the fusion of imperfect data?
Proceedings of SPIE (March 06 2002)
Fuzzy concept formation
Proceedings of SPIE (March 01 1992)

Back to Top