Conjunctive and disjunctive combination of belief functions induced by nondistinct bodies of evidence

By Thierry Denoeux. Artificial Intelligence, 2008

448 citations recorded by the source corpus.

Dempster's rule plays a central role in the theory of belief functions. However, it assumes the combined bodies of evidence to be distinct, an assumption which is not always verified in practice. In this paper, a new operator, the cautious rule of combination, is introduced. This operator is commutative, associative and idempotent. This latter property makes it suitable to combine belief functions induced by reliable, but possibly overlapping bodies of evidence. A dual operator, the bold disjunctive rule, is also introduced. This operator is also commutative, associative and idempotent, and can be used to combine belief functions issues from possibly overlapping and unreliable sources. Finally, the cautious and bold rules are shown to be particular members of infinite families of conjunctive and disjunctive combination rules based on triangular norms and conorms.

Subfields: Artificial Intelligence, Civil and Structural Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/134cfcb34acec233c193c3f029d29269db229cc3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Jianbo Yang
2. Dongling Xu

In Civil and Structural Engineering

1. Dongling Xu
2. Jianbo Yang

In Management Science and Operations Research

1. Dongling Xu
2. Jianbo Yang
3. Ian N. Durbach
4. T. Stewart
5. Yingming Wang
6. Kwai-Sang Chin
7. Jin Wang
8. Jun Liu

Citations in the corpus

• Evidential reasoning rule for evidence combination (2013, background): “Other rules need to be established to combine dependent evidence, or for non-conjunctive or mixed combination of multiple pieces of evidence that may or may not be independent [7].”