An improved method to determine basic probability assignment with interval number and its application in classification

Due to its efficiency to handle uncertain information, Dempster–Shafer evidence theory has become the most important tool in many information fusion systems. However, how to determine basic probability assignment, which is the first step in evidence theory, is still an open issue. In this article, a...

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Main Authors: Bowen Qin, Fuyuan Xiao
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147718820524
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author Bowen Qin
Fuyuan Xiao
author_facet Bowen Qin
Fuyuan Xiao
author_sort Bowen Qin
collection DOAJ
description Due to its efficiency to handle uncertain information, Dempster–Shafer evidence theory has become the most important tool in many information fusion systems. However, how to determine basic probability assignment, which is the first step in evidence theory, is still an open issue. In this article, a new method integrating interval number theory and k -means++ cluster method is proposed to determine basic probability assignment. At first, k -means++ clustering method is used to calculate lower and upper bound values of interval number with training data. Then, the differentiation degree based on distance and similarity of interval number between the test sample and constructed models are defined to generate basic probability assignment. Finally, Dempster’s combination rule is used to combine multiple basic probability assignments to get the final basic probability assignment. The experiments on Iris data set that is widely used in classification problem illustrated that the proposed method is effective in determining basic probability assignment and classification problem, and the proposed method shows more accurate results in which the classification accuracy reaches 96.7%.
format Article
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institution Kabale University
issn 1550-1477
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series International Journal of Distributed Sensor Networks
spelling doaj-art-1425d59b926847cfb3ff0cecb75e299f2025-02-03T05:44:35ZengWileyInternational Journal of Distributed Sensor Networks1550-14772019-01-011510.1177/1550147718820524An improved method to determine basic probability assignment with interval number and its application in classificationBowen QinFuyuan XiaoDue to its efficiency to handle uncertain information, Dempster–Shafer evidence theory has become the most important tool in many information fusion systems. However, how to determine basic probability assignment, which is the first step in evidence theory, is still an open issue. In this article, a new method integrating interval number theory and k -means++ cluster method is proposed to determine basic probability assignment. At first, k -means++ clustering method is used to calculate lower and upper bound values of interval number with training data. Then, the differentiation degree based on distance and similarity of interval number between the test sample and constructed models are defined to generate basic probability assignment. Finally, Dempster’s combination rule is used to combine multiple basic probability assignments to get the final basic probability assignment. The experiments on Iris data set that is widely used in classification problem illustrated that the proposed method is effective in determining basic probability assignment and classification problem, and the proposed method shows more accurate results in which the classification accuracy reaches 96.7%.https://doi.org/10.1177/1550147718820524
spellingShingle Bowen Qin
Fuyuan Xiao
An improved method to determine basic probability assignment with interval number and its application in classification
International Journal of Distributed Sensor Networks
title An improved method to determine basic probability assignment with interval number and its application in classification
title_full An improved method to determine basic probability assignment with interval number and its application in classification
title_fullStr An improved method to determine basic probability assignment with interval number and its application in classification
title_full_unstemmed An improved method to determine basic probability assignment with interval number and its application in classification
title_short An improved method to determine basic probability assignment with interval number and its application in classification
title_sort improved method to determine basic probability assignment with interval number and its application in classification
url https://doi.org/10.1177/1550147718820524
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AT fuyuanxiao animprovedmethodtodeterminebasicprobabilityassignmentwithintervalnumberanditsapplicationinclassification
AT bowenqin improvedmethodtodeterminebasicprobabilityassignmentwithintervalnumberanditsapplicationinclassification
AT fuyuanxiao improvedmethodtodeterminebasicprobabilityassignmentwithintervalnumberanditsapplicationinclassification