2021
DOI: 10.1016/j.engappai.2021.104452
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A belief Hellinger distance for D–S evidence theory and its application in pattern recognition

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Cited by 52 publications
(22 citation statements)
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“…But as analyzed in this paper, this transformation confronts probability degeneration, which has been investigated and improved in the following section. As a metric measuring the evidential distance, Belief Hellinger Distance has been devised for multi-source information fusion [6]. Suppose that m 1 and m 2 are two sets of BPAs respectively, is the FOD, then the Belief Hellinger Distance between m 1 and m 2 can be calculated as below:…”
Section: Background Knowledge Of D-s Evidence Theorymentioning
confidence: 99%
See 2 more Smart Citations
“…But as analyzed in this paper, this transformation confronts probability degeneration, which has been investigated and improved in the following section. As a metric measuring the evidential distance, Belief Hellinger Distance has been devised for multi-source information fusion [6]. Suppose that m 1 and m 2 are two sets of BPAs respectively, is the FOD, then the Belief Hellinger Distance between m 1 and m 2 can be calculated as below:…”
Section: Background Knowledge Of D-s Evidence Theorymentioning
confidence: 99%
“…In recent years, with the rapid development of information technology and knowledge-based artificial intelligence, the application of multi-source information fusion has been extended to civil decision-making [2], [3], [4]. Evidence theory is a widely accepted decision-making structure to solve multi-source information fusion problems [5], which has the capability to express uncertainty and ignorance when making decisions [6], [7], [8].…”
Section: Introduction and Related Workmentioning
confidence: 99%
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“…According to the measurement of uncertain information, many methods are used to identify the target and achieve the desired effect, such as evidential reasoning, 24 information fusion, 25 multidata fusion, 26,27 and so on. [28][29][30][31] Moreover, these methods have been widely used in various tasks, such as group decision-making (multiple attribute decision making-MADM), [32][33][34] reliability optimization, 35 medical system, 36,37 decision making, [38][39][40] fault diagnosis, [41][42][43] engineering system, 44 risk analysis, 45,46 and so on. [47][48][49][50] Regarding the processing of uncertain information, the most representative one is the D-S evidence theory.…”
Section: Introductionmentioning
confidence: 99%
“…Its theoretical basis lies in how to distinguish what is needed from different data. In the last decade, the application of pattern recognition technology in the field of machinery and equipment fault diagnosis has been common [1][2], with relevant improvements being propose. Along with the theoretical research on artificial neural networks, their application to pattern recognition techniques has resulted in a biomimetic pattern recognition method that shows excellent application prospects as a new method of information processing and fault diagnosis [3][4].…”
Section: Introductionmentioning
confidence: 99%