# A total uncertainty measure for D numbers based on belief intervals

arXiv: https://arxiv.org/abs/1801.00702 · HTML: https://mlsanity.com/paper/1801.00702/

## Key facts

- Cited by 7 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Dec 2017.

## Built on by (most cited first, 7 of 7)

- [MMGET: A Markov model for generalized evidence theory](https://mlsanity.com/paper/2105.07952/) (2021)
- [A Matrix-based Distance of Pythagorean Fuzzy Set and its Application in Medical Diagnosis](https://mlsanity.com/paper/2102.01538/) (2021)
- [TDQMF: Two-dimensional quantum mass function](https://mlsanity.com/paper/2102.07652/) (2021)
- [Ordinal relative belief entropy](https://mlsanity.com/paper/2102.12575/) (2021)
- [Combining conflicting ordinal quantum evidences utilizing individual reliability](https://mlsanity.com/paper/2104.01910/) (2021)
- [An approach utilizing negation of extended-dimensional vector of disposing mass for ordinal evidences combination in a fuzzy environment](https://mlsanity.com/paper/2104.05416/) (2021)
- [Fortified quantum mass function utilizing ordinal pictorial check based on time interval analysis and expertise](https://mlsanity.com/paper/2105.08781/) (2021)

## Abstract (arXiv)

As a generalization of Dempster-Shafer theory, the theory of D numbers is a new theoretical framework for uncertainty reasoning. Measuring the uncertainty of knowledge or information represented by D numbers is an unsolved issue in that theory. In this paper, inspired by distance based uncertainty measures for Dempster-Shafer theory, a total uncertainty measure for a D number is proposed based on its belief intervals. The proposed total uncertainty measure can simultaneously capture the discord, and non-specificity, and non-exclusiveness involved in D numbers. And some basic properties of this total uncertainty measure, including range, monotonicity, generalized set consistency, are also presented.