A total uncertainty measure for D numbers based on belief intervals
Abstract
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.
Keywords
Cite
@article{arxiv.1801.00702,
title = {A total uncertainty measure for D numbers based on belief intervals},
author = {Xinyang Deng and Wen Jiang},
journal= {arXiv preprint arXiv:1801.00702},
year = {2018}
}
Comments
14 pages, 2 figures. arXiv admin note: text overlap with arXiv:1711.09186