2020
DOI: 10.3390/e22060691
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A New Belief Entropy in Dempster–Shafer Theory Based on Basic Probability Assignment and the Frame of Discernment

Abstract: Dempster–Shafer theory has been widely used in many applications, especially in the measurement of information uncertainty. However, under the D-S theory, how to use the belief entropy to measure the uncertainty is still an open issue. In this paper, we list some significant properties. The main contribution of this paper is to propose a new entropy, for which some properties are discussed. Our new model has two components. The first is Nguyen entropy. The second component is the product of the cardinality of … Show more

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Cited by 11 publications
(7 citation statements)
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“…D-S evidence theory is a typical reasoning method for intelligent processing and data fusion of uncertain information. It has been widely used in various fields [ 28 , 29 , 30 , 31 , 32 ]. Under the D-S evidence theory, a complete set of mutually incompatible basic propositions (presumptions) is called a recognition frame, which represents all possible answers to a question with only one correct answer.…”
Section: Methodsmentioning
confidence: 99%
“…D-S evidence theory is a typical reasoning method for intelligent processing and data fusion of uncertain information. It has been widely used in various fields [ 28 , 29 , 30 , 31 , 32 ]. Under the D-S evidence theory, a complete set of mutually incompatible basic propositions (presumptions) is called a recognition frame, which represents all possible answers to a question with only one correct answer.…”
Section: Methodsmentioning
confidence: 99%
“…Due to the strong ability to measure the uncertainty of BPA, Deng entropy has attracted the attention of many researchers [ 22 , 23 ] and has been improved from multiple perspectives [ 24 , 25 , 26 ], which has been widely used in the field of multi-sensor data fusion [ 27 ].…”
Section: Preliminariesmentioning
confidence: 99%
“…Since Shannon first proposed information theory in 1948, it has become the focus of numerous studies [36]. As a powerful tool to quantify information, information entropy is widely used in various fields, such as cybernetics [37], probability theory [38], and life sciences [39]. Although information entropy can describe the state of a single variable well, it is difficult to measure the information transfer relationship between multiple variables.…”
Section: Construction Of the Information Transmission Model Of The Me...mentioning
confidence: 99%