# The Dynamic of Belief in the Transferable Belief Model and Specialization-Generalization Matrices

arXiv: https://arxiv.org/abs/1303.5408 · HTML: https://mlsanity.com/paper/1303.5408/

## Key facts

- Cited by 5 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 Mar 2013.

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

- [Uncertainty measures: The big picture](https://mlsanity.com/paper/2104.06839/) (2021)
- [The intersection probability: betting with probability intervals](https://mlsanity.com/paper/2201.01729/) (2022)
- [Flexible categorization for auditing using formal concept analysis and Dempster-Shafer theory](https://mlsanity.com/paper/2210.17330/) (2022)
- [Flexible categorization using formal concept analysis and Dempster-Shafer theory](https://mlsanity.com/paper/2408.15012/) (2024)
- [A geometric approach to conditioning belief functions](https://mlsanity.com/paper/2104.10651/) (2021)

## Abstract (arXiv)

The fundamental updating process in the transferable belief model is related to the concept of specialization and can be described by a specialization matrix. The degree of belief in the truth of a proposition is a degree of justified support. The Principle of Minimal Commitment implies that one should never give more support to the truth of a proposition than justified. We show that Dempster's rule of conditioning corresponds essentially to the least committed specialization, and that Dempster's rule of combination results essentially from commutativity requirements. The concept of generalization, dual to thc concept of specialization, is described.