# On the negation of a Dempster-Shafer belief structure based on maximum uncertainty allocation

arXiv: https://arxiv.org/abs/1901.10072 · HTML: https://mlsanity.com/paper/1901.10072/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Jan 2019.

## Built on by (most cited first, 3 of 3)

- [MMGET: A Markov model for generalized evidence theory](https://mlsanity.com/paper/2105.07952/) (2021)
- [Limit of the Maximum Random Permutation Set Entropy](https://mlsanity.com/paper/2403.06206/) (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)

Probability theory and Dempster-Shafer theory are two germane theories to represent and handle uncertain information. Recent study suggested a transformation to obtain the negation of a probability distribution based on the maximum entropy. Correspondingly, determining the negation of a belief structure, however, is still an open issue in Dempster-Shafer theory, which is very important in theoretical research and practical applications. In this paper, a negation transformation for belief structures is proposed based on maximum uncertainty allocation, and several important properties satisfied by the transformation have been studied. The proposed negation transformation is more general and could totally compatible with existing transformation for probability distributions.