# TDQMF: Two-dimensional quantum mass function

arXiv: https://arxiv.org/abs/2102.07652 · HTML: https://mlsanity.com/paper/2102.07652/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 3 of its 87 references that are in the map.
- First posted on arXiv 31 Jan 2021.

## Builds on (most cited first, 3 of 3)

- [Multi-channel EEG recordings during a sustained-attention driving task](https://mlsanity.com/paper/1809.06534/) (2018)
- [A total uncertainty measure for D numbers based on belief intervals](https://mlsanity.com/paper/1801.00702/) (2017)
- [Uncertainty measurement with belief entropy on interference effect in Quantum-Like Bayesian Networks](https://mlsanity.com/paper/1709.02844/) (2017)

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

- [Complementarity-driven Representation Learning for Multi-modal Knowledge Graph Completion](https://mlsanity.com/paper/2507.20620/) (2025)
- [Mutual Evidential Deep Learning for Medical Image Segmentation](https://mlsanity.com/paper/2505.12418/) (2025)
- [Co-Evidential Fusion with Information Volume for Medical Image Segmentation](https://mlsanity.com/paper/2506.02492/) (2025)

## Abstract (arXiv)

Quantum mass function has been applied in lots of fields because of its efficiency and validity of managing uncertainties in the form of quantum which can be regarded as an extension of classical Dempster-Shafer (D-S) evidence theory. However, how to handle uncertainties in the form of quantum is still an open issue. In this paper, a new method is proposed to dispose uncertain quantum information, which is called two-dimensional quantum mass function (TDQMF). A TDQMF is consist of two elements, TQ = (Qoriginal, Qindicative), both of the Qs are quantum mass functions, in which the Qindicative is an indicator of the reliability on Qoriginal. More flexibility and effectiveness are offered in handling uncertainty in the field of quantum by the proposed method compared with primary quantum mass function. Besides, some numerical examples are provided and some practical applications are given to verify its correctness and validity