Abstract
Discount coefficient is an efficient method to address conflicting evidence combination in Dempster-Shafer evidence theory. However, how to determine the discount coefficient of each evidence is an open issue. In this paper, considering both the influence of the amount of information contained in the evidence itself and the fuzziness of the evidence based on the negation of basic belief assignment, a new discount coefficient is presented. The proposed discount coefficient is a fractional form. The numerator is Deng entropy, and the denominator is entropy difference between initial body of evidence (BOE) and its negation. The more information contained in the evidence, the more value is obtained. And the lower fuzziness of evidence, the less value is obtained. A numerical example is given to illustrate the application of this proposed method in the combination of highly conflicting evidence.
Highlights
Dempster-shafer theory, (D-S theroy), as an important and widely used method in data fusion, has played a crucial role in objects classification [1], target recognition [2], [3], decisions making [4], uncertainty measure [5], [6] and so on [7]–[9]
Li et al.: Conflict Management of Evidence Theory Based on Belief Entropy and Negation is the amount of information contained in the evidence itself, that is, the uncertain degree of basic belief assignment (BBA) which can be measured by Deng entropy [26], [27]
Entropy has been seen as an indicator to measure uncertainty of some probability density function (PDF) [68], which has been applied to many fields [69], [70]
Summary
Dempster-shafer theory, (D-S theroy), as an important and widely used method in data fusion, has played a crucial role in objects classification [1], target recognition [2], [3], decisions making [4], uncertainty measure [5], [6] and so on [7]–[9]. The main contribution is to present a discount coefficient generated by the quotient of Deng entropy and entropy difference between initial body of evidence (BOE) and its negation. S. Li et al.: Conflict Management of Evidence Theory Based on Belief Entropy and Negation is the amount of information contained in the evidence itself, that is, the uncertain degree of basic belief assignment (BBA) which can be measured by Deng entropy [26], [27]. Li et al.: Conflict Management of Evidence Theory Based on Belief Entropy and Negation is the amount of information contained in the evidence itself, that is, the uncertain degree of basic belief assignment (BBA) which can be measured by Deng entropy [26], [27] Another is entropy difference between initial BBA and its negation.
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