A Novel Measure of Uncertainty in the Dempster-Shafer Theory

In the Dempster-Shafer theory, how to quantitatively evaluate the quality of information is an essential issue and also an open issue. Many of measures of uncertainty have been proposed in previous work, whereas some measures among them had been proved to have a few shortcomings. The validity and ra...

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Main Authors: Ke Wen, Yafei Song, Chunhua Wu, Tianpeng Li
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9028244/
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spelling doaj-25a80acbefce4b4a894950ebf9f79ea02021-03-30T02:12:30ZengIEEEIEEE Access2169-35362020-01-018515505155910.1109/ACCESS.2020.29796059028244A Novel Measure of Uncertainty in the Dempster-Shafer TheoryKe Wen0https://orcid.org/0000-0003-4318-5861Yafei Song1https://orcid.org/0000-0003-0962-0671Chunhua Wu2Tianpeng Li3Department of Mechanical Engineering, Tsinghua University, Beijing, ChinaAir and Missile Defense College, Air Force Engineering University, Xi’an, ChinaPLA Air Force Xi’an Flight Academy, Xi’an, ChinaInstitute of Information System Engineering, PLA Strategic Support Army Information Engineering University, Zhengzhou, ChinaIn the Dempster-Shafer theory, how to quantitatively evaluate the quality of information is an essential issue and also an open issue. Many of measures of uncertainty have been proposed in previous work, whereas some measures among them had been proved to have a few shortcomings. The validity and rationality of the measures proposed in recent years have been explored and analyzed preliminarily, and then an empirical measure of uncertainty with exponential function form which is directly based on the framework of the evidence theory is proposed to overcome the shortcomings. Several numerical examples have been presented to illustrate the validity and rationality of the empirical measure.https://ieeexplore.ieee.org/document/9028244/The Dempster-Shafer theorymeasure of uncertaintyexponential functionvalidity and rationality
collection DOAJ
language English
format Article
sources DOAJ
author Ke Wen
Yafei Song
Chunhua Wu
Tianpeng Li
spellingShingle Ke Wen
Yafei Song
Chunhua Wu
Tianpeng Li
A Novel Measure of Uncertainty in the Dempster-Shafer Theory
IEEE Access
The Dempster-Shafer theory
measure of uncertainty
exponential function
validity and rationality
author_facet Ke Wen
Yafei Song
Chunhua Wu
Tianpeng Li
author_sort Ke Wen
title A Novel Measure of Uncertainty in the Dempster-Shafer Theory
title_short A Novel Measure of Uncertainty in the Dempster-Shafer Theory
title_full A Novel Measure of Uncertainty in the Dempster-Shafer Theory
title_fullStr A Novel Measure of Uncertainty in the Dempster-Shafer Theory
title_full_unstemmed A Novel Measure of Uncertainty in the Dempster-Shafer Theory
title_sort novel measure of uncertainty in the dempster-shafer theory
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description In the Dempster-Shafer theory, how to quantitatively evaluate the quality of information is an essential issue and also an open issue. Many of measures of uncertainty have been proposed in previous work, whereas some measures among them had been proved to have a few shortcomings. The validity and rationality of the measures proposed in recent years have been explored and analyzed preliminarily, and then an empirical measure of uncertainty with exponential function form which is directly based on the framework of the evidence theory is proposed to overcome the shortcomings. Several numerical examples have been presented to illustrate the validity and rationality of the empirical measure.
topic The Dempster-Shafer theory
measure of uncertainty
exponential function
validity and rationality
url https://ieeexplore.ieee.org/document/9028244/
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