Title
Logarithmic Negation of Basic Probability Assignment and Its Application in Target Recognition
Abstract
The negation of probability distribution is a new perspective from which to obtain information. Dempster-Shafer (D-S) evidence theory, as an extension of possibility theory, is widely used in decision-making-level fusion. However, how to reasonably construct the negation of basic probability assignment (BPA) in D-S evidence theory is an open issue. This paper proposes a new negation of BPA, logarithmic negation. It solves the shortcoming of Yin's negation that maximal entropy cannot be obtained when there are only two focal elements in the BPA. At the same time, the logarithmic negation of BPA inherits the good properties of the negation of probability, such as order reversal, involution, convergence, degeneration, and maximal entropy. Logarithmic negation degenerates into Gao's negation when the values of the elements all approach 0. In addition, the data fusion method based on logarithmic negation has a higher belief value of the correct target in target recognition application.
Year
DOI
Venue
2022
10.3390/info13080387
INFORMATION
Keywords
DocType
Volume
logarithmic negation, negation of basic probability assignment, uncertainty, Dempster-Shafer evidence theory, target recognition
Journal
13
Issue
ISSN
Citations 
8
2078-2489
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Shijun Xu100.68
Yi Hou202.37
Xinpu Deng300.68
Peibo Chen400.68
Shilin Zhou57213.94