Branch Mathematics and Statistics Faculty and Staff Publications
Improvement of Proportional Conflict Redistribution Rules of Combination of Basic Belief Assignments
Document Type
Article
Publication Date
2021
Abstract
This paper discusses and analyzes the behaviors of the Proportional Conflict Redistribution rules no. 5 (PCR5) and no. 6 (PCR6) to combine several distinct sources of evidence characterized by their basic belief assignments defined over the same frame of discernment. After a brief review of these rules, the paper shows through simple examples why their behaviors can sometimes increase the uncertainty more than necessary, which is detrimental to decision-making support drawn from the result of the combination.We present a theoretical improvement of these rules, and establish new PCR5+ and PCR6+ rules of combination. These new rules overcome the weakness of PCR5 and PCR6 rules by computing binary-keeping indexes that allow to keep only focal elements that play an effective role in the partial conflict redistribution. PCR5+ and PCR6+ rules are not associative but they preserve the neutrality of the vacuous belief assignment contrary to the PCR5 and PCR6 rules, and they make a more precise redistribution which does not increase improperly the mass of partial uncertainties.
Publication Title
JOURNAL OF ADVANCES IN INFORMATION FUSION
Language (ISO)
English
Keywords
PCR5, PCR5+, PCR6, PCR6+, DSmT, Information Fusion
Recommended Citation
Dezert, Theo; Jean Dezert; and Florentin Smarandache. "Improvement of Proportional Conflict Redistribution Rules of Combination of Basic Belief Assignments." JOURNAL OF ADVANCES IN INFORMATION FUSION (2021). https://digitalrepository.unm.edu/math_fsp/598
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
