Determination of basic probability assignment based on interval numbers and its application

Bing Yi Kang; Ya Li; Yong Deng; Ya Juan Zhang; Xin Yang Deng

doi:10.3969/j.issn.0372-2112.2012.06.004

Determination of basic probability assignment based on interval numbers and its application

Bing Yi Kang, Ya Li, Yong Deng, Ya Juan Zhang, Xin Yang Deng

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

One of the open issues of Dempster Shafer theory is how to determine basic probability assignment function (BPA). To solve this problem, a method to determine BPA based on interval numbers is proposed in the paper. At first, the model of interval numbers is constructed with the samples. Then the distance of interval numbers is used to represent difference among the attributes of the samples, so the similarity of them is calculated. At last, the similarity is normalized to get the value of BPA. The effectiveness of this method is proved by classifying the Iris Set. It concludes that the total recognition rate is 96%. This method is simple and practical; it can determine BPA in the case of the little number of the samples.

Original language	English
Pages (from-to)	1092-1096
Number of pages	5
Journal	Tien Tzu Hsueh Pao/Acta Electronica Sinica
Volume	40
Issue number	6
DOIs	https://doi.org/10.3969/j.issn.0372-2112.2012.06.004
State	Published - Jun 2012
Externally published	Yes

Keywords

BPA
Data fusion
Evidence theory
Interval number
Recognition
Similarity

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10.3969/j.issn.0372-2112.2012.06.004

Cite this

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title = "Determination of basic probability assignment based on interval numbers and its application",

abstract = "One of the open issues of Dempster Shafer theory is how to determine basic probability assignment function (BPA). To solve this problem, a method to determine BPA based on interval numbers is proposed in the paper. At first, the model of interval numbers is constructed with the samples. Then the distance of interval numbers is used to represent difference among the attributes of the samples, so the similarity of them is calculated. At last, the similarity is normalized to get the value of BPA. The effectiveness of this method is proved by classifying the Iris Set. It concludes that the total recognition rate is 96%. This method is simple and practical; it can determine BPA in the case of the little number of the samples.",

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AU - Kang, Bing Yi

AU - Li, Ya

AU - Deng, Yong

AU - Zhang, Ya Juan

AU - Deng, Xin Yang

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AB - One of the open issues of Dempster Shafer theory is how to determine basic probability assignment function (BPA). To solve this problem, a method to determine BPA based on interval numbers is proposed in the paper. At first, the model of interval numbers is constructed with the samples. Then the distance of interval numbers is used to represent difference among the attributes of the samples, so the similarity of them is calculated. At last, the similarity is normalized to get the value of BPA. The effectiveness of this method is proved by classifying the Iris Set. It concludes that the total recognition rate is 96%. This method is simple and practical; it can determine BPA in the case of the little number of the samples.

KW - BPA

KW - Data fusion

KW - Evidence theory

KW - Interval number

KW - Recognition

KW - Similarity

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Determination of basic probability assignment based on interval numbers and its application

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