Abstract
The Dempster–Shafer evidence theory has been widely applied in the field of information fusion. However, when the collected evidence data are highly conflicting, the Dempster combination rule (DCR) fails to produce intuitive results most of the time. In order to solve this problem, the base belief function is proposed to modify the basic probability assignment (BPA) in the exhaustive frame of discernment (FOD). However, in the non-exhaustive FOD, the mass function value of the empty set is nonzero, which makes the base belief function no longer applicable. In this paper, considering the influence of the size of the FOD and the mass function value of the empty set, a new belief function named the extended base belief function (EBBF) is proposed. This method can modify the BPA in the non-exhaustive FOD and obtain intuitive fusion results by taking into account the characteristics of the non-exhaustive FOD. In addition, the EBBF can degenerate into the base belief function in the exhaustive FOD. At the same time, by calculating the belief entropy of the modified BPA, we find that the value of belief entropy is higher than before. Belief entropy is used to measure the uncertainty of information, which can show the conflict more intuitively. The increase of the value of entropy belief is the consequence of conflict. This paper also designs an improved conflict data management method based on the EBBF to verify the rationality and effectiveness of the proposed method.
Highlights
With the development of technology in computers, the Internet, and other related fields, information fusion technology, which was born in the military field [1], has been running through every corner of people’s production and lives [2]
This paper proposes a conflict data management method based on an extended base belief function (EBBF), and verifies the feasibility and effectiveness of the proposed method by analyzing some examples
In order to solve this problem, some scholars put forward the base belief function to modify the basic probability assignment (BPA) to eliminate the absoluteness brought by conflict
Summary
With the development of technology in computers, the Internet, and other related fields, information fusion technology, which was born in the military field [1], has been running through every corner of people’s production and lives [2]. Mathematics 2020, 8, 2137 function [20] based on the size of the frame of discernment (FOD) is proposed This method can eliminate the high conflict in evidence by modifying the basic probability assignment (BPA) in the exhaustive FOD, producing intuitive results. In order to solve the above problems, this paper extends the base belief function and proposes a method to modify the BPA in the non-exhaustive FOD. This method inherits the original characteristics of the base belief function, and takes into account the value of the nonzero empty set mass function, which makes it possible to modify the BPA in the open non-exhausted FOD.
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