# A correlation coefficient of belief functions

arXiv: https://arxiv.org/abs/1612.05497 · HTML: https://mlsanity.com/paper/1612.05497/

## Key facts

- Cited by 5 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Dec 2016.

## Built on by (most cited first, 5 of 5)

- [Belief Evolution Network-based Probability Transformation and Fusion](https://mlsanity.com/paper/2110.03468/) (2021)
- [A Fast Evidential Approach for Stock Forecasting](https://mlsanity.com/paper/2104.05204/) (2021)
- [Reliability Assessment of Information Sources Based on Random Permutation Set](https://mlsanity.com/paper/2410.22772/) (2024)
- [Evaluating Evidential Reliability In Pattern Recognition Based On Intuitionistic Fuzzy Sets](https://mlsanity.com/paper/2411.00848/) (2024)
- [Fortified quantum mass function utilizing ordinal pictorial check based on time interval analysis and expertise](https://mlsanity.com/paper/2105.08781/) (2021)

## Abstract (arXiv)

How to manage conflict is still an open issue in Dempster-Shafer evidence theory. The correlation coefficient can be used to measure the similarity of evidence in Dempster-Shafer evidence theory. However, existing correlation coefficients of belief functions have some shortcomings. In this paper, a new correlation coefficient is proposed with many desirable properties. One of its applications is to measure the conflict degree among belief functions. Some numerical examples and comparisons demonstrate the effectiveness of the correlation coefficient.