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

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84 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1092-1096
页数	5
期刊	Tien Tzu Hsueh Pao/Acta Electronica Sinica
卷	40
期	6
DOI	https://doi.org/10.3969/j.issn.0372-2112.2012.06.004
出版状态	已出版 - 6月 2012
已对外发布	是

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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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author = "Kang, {Bing Yi} and Ya Li and Yong Deng and Zhang, {Ya Juan} and Deng, {Xin Yang}",

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T1 - Determination of basic probability assignment based on interval numbers and its application

AU - Kang, Bing Yi

AU - Li, Ya

AU - Deng, Yong

AU - Zhang, Ya Juan

AU - Deng, Xin Yang

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N2 - 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.

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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