控制理论与应用2024，Vol.41Issue(3)：567-576,10.DOI:10.7641/CTA.2023.20845
基本概率赋值不确定性的广义度量及在证据组合中的应用
A generalized measure of basic probability assignment uncertainty and its application in evidence combination
摘要
Abstract
Measurement of the uncertainty of the basic probability assignment(BPA)given by the sensor is a key issue in the D-S(dempster-shafer)evidence theory,and the accuracy level of the uncertainty is crucially important to assess the quality of information conveyed by belief structures.This paper first proposes an improved normalized projection method(iNP),and then presents a new generalized measure of projection uncertainty(PU)based on iNP.Theoretical proofs and experimental simulations illustrate that PU satisfies the properties of nonnegativity,boundness,invariance,monotonicity,non-reverse intuition,higher sensitivity and lower computational burden,which ensure that PU can effectively realize generalized measure of BPA uncertainty.Compared with the existing uncertainty measures,the proposed method is more sensitive to changes in evidence.Finally,a new evidence combination method based on the PU method is put forward,and the effectiveness and the rationality of the proposed method are illustrated by numerical examples and practical applications.关键词
D-S证据理论/改进的归一化投影/不确定性广义度量/证据组合Key words
D-S evidence theory/improved normalized projection/generalized measure of uncertainty/evidence com-bination引用本文复制引用
于爽,王欣..基本概率赋值不确定性的广义度量及在证据组合中的应用[J].控制理论与应用,2024,41(3):567-576,10.基金项目
国家自然科学基金项目(61573132),黑龙江省自然科学基金重点项目(ZD2021F003),黑龙江省自然科学基金联合引导项目(LH2020G008)资助.Supported by the National Natural Science Foundation of China(61573132),the Key Project of Natural Science Foundation of Heilongjiang Province(ZD2021F003)and the Joint Guidance Project of Natural Science Foundation of Heilongjiang Province(LH2020G008). （61573132）
