On the Dempster-Shafer framework and new combination rules
Information Sciences: an International Journal
Artificial Intelligence
On the evidence inference theory
Information Sciences: an International Journal
Combining belief functions when evidence conflicts
Decision Support Systems
The consensus operator for combining beliefs
Artificial Intelligence
Combining belief functions based on distance of evidence
Decision Support Systems
Analyzing the combination of conflicting belief functions
Information Fusion
A novel conflict reassignment method based on grey relational analysis (GRA)
Pattern Recognition Letters
International Journal of Approximate Reasoning
Robust combination rules for evidence theory
Information Fusion
Combination of partially non-distinct beliefs: The cautious-adaptive rule
International Journal of Approximate Reasoning
The canonical decomposition of a weighted belief
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
Belief functions combination without the assumption of independence of the information sources
International Journal of Approximate Reasoning
Conflict management in Dempster--Shafer theory using the degree of falsity
International Journal of Approximate Reasoning
Hi-index | 12.05 |
This paper investigates the conjunctive combination of belief functions from dependent sources based on the cautious conjunctive rule (CCR). Weight functions in the canonical decomposition of a belief function are divided into two parts, namely, positive and negative weight functions, whose characteristics are described. Positive and negative weight functions of two belief functions are used to construct a new partial ordering between the belief functions. The partial ordering determines the committed relationship between two belief functions, which is different from that generated by the weight function based partial ordering in the CCR when one or two belief functions are not unnormalized separable. A new rule is developed using the constructed partial ordering to combine belief functions from dependent sources. The relevant properties are described and demonstrated by examples. A performance assessment problem is investigated to demonstrate the validity and applicability of the proposed rule and compare it with the CCR.