Abstract
To overcome the frequent criticism of Dempster’s rule for combination of belief functions several alternatives were defined, the consensus operator among them. Algebraic analysis of the consensus operator is presented using the methodology introduced by Hájek-Valdés for Dempster’s semigroup. The methodology and Dempster’s semigroup is recalled. Jøsang’s semigroup and related structures are introduced, analysed, and compared with those related to the Dempster’s case.
Partial support by the COST action 274 TARSKI is acknowledged.
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Daniel, M. (2003). Algebraic Structures Related to the Consensus Operator for Combining of Beliefs. In: Nielsen, T.D., Zhang, N.L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2003. Lecture Notes in Computer Science(), vol 2711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45062-7_27
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DOI: https://doi.org/10.1007/978-3-540-45062-7_27
Publisher Name: Springer, Berlin, Heidelberg
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